若100之內的6個相異正整數其倒數和等於1,求此6數和的最小值。
100之內的6個相異正整數其倒數和等於1,只有229組解,而6數和的最小值為50。
100之內的6個相異正整數其倒數和等於1,只有229組解,而6數和的最小值為50。
3 | + | 4 | + | 6 | + | 10 | + | 12 | + | 15 | = | 50 |
3 | + | 4 | + | 6 | + | 9 | + | 12 | + | 18 | = | 52 |
3 | + | 4 | + | 6 | + | 8 | + | 12 | + | 24 | = | 57 |
3 | + | 4 | + | 5 | + | 10 | + | 15 | + | 20 | = | 57 |
3 | + | 4 | + | 5 | + | 9 | + | 18 | + | 20 | = | 59 |
2 | + | 6 | + | 9 | + | 10 | + | 15 | + | 18 | = | 60 |
3 | + | 4 | + | 6 | + | 7 | + | 14 | + | 28 | = | 62 |
2 | + | 5 | + | 10 | + | 12 | + | 15 | + | 20 | = | 64 |
3 | + | 4 | + | 5 | + | 8 | + | 20 | + | 24 | = | 64 |
3 | + | 4 | + | 5 | + | 10 | + | 12 | + | 30 | = | 64 |
2 | + | 6 | + | 8 | + | 10 | + | 15 | + | 24 | = | 65 |
2 | + | 5 | + | 9 | + | 12 | + | 18 | + | 20 | = | 66 |
2 | + | 6 | + | 8 | + | 9 | + | 18 | + | 24 | = | 67 |
2 | + | 6 | + | 7 | + | 12 | + | 14 | + | 28 | = | 69 |
2 | + | 5 | + | 8 | + | 12 | + | 20 | + | 24 | = | 71 |
3 | + | 4 | + | 6 | + | 8 | + | 10 | + | 40 | = | 71 |
2 | + | 5 | + | 9 | + | 10 | + | 18 | + | 30 | = | 74 |
3 | + | 4 | + | 6 | + | 7 | + | 12 | + | 42 | = | 74 |
3 | + | 4 | + | 5 | + | 8 | + | 15 | + | 40 | = | 75 |
2 | + | 5 | + | 7 | + | 14 | + | 20 | + | 28 | = | 76 |
2 | + | 6 | + | 8 | + | 10 | + | 12 | + | 40 | = | 78 |
3 | + | 4 | + | 5 | + | 9 | + | 12 | + | 45 | = | 78 |
2 | + | 5 | + | 8 | + | 10 | + | 24 | + | 30 | = | 79 |
2 | + | 4 | + | 10 | + | 15 | + | 21 | + | 28 | = | 80 |
2 | + | 4 | + | 10 | + | 15 | + | 20 | + | 30 | = | 81 |
3 | + | 4 | + | 5 | + | 7 | + | 20 | + | 42 | = | 81 |
2 | + | 4 | + | 9 | + | 18 | + | 21 | + | 28 | = | 82 |
2 | + | 4 | + | 12 | + | 14 | + | 15 | + | 35 | = | 82 |
2 | + | 5 | + | 6 | + | 20 | + | 21 | + | 28 | = | 82 |
2 | + | 5 | + | 8 | + | 12 | + | 15 | + | 40 | = | 82 |
2 | + | 6 | + | 7 | + | 10 | + | 15 | + | 42 | = | 82 |
2 | + | 4 | + | 9 | + | 18 | + | 20 | + | 30 | = | 83 |
2 | + | 4 | + | 11 | + | 12 | + | 22 | + | 33 | = | 84 |
2 | + | 6 | + | 7 | + | 9 | + | 18 | + | 42 | = | 84 |
2 | + | 4 | + | 10 | + | 15 | + | 18 | + | 36 | = | 85 |
2 | + | 4 | + | 10 | + | 14 | + | 20 | + | 35 | = | 85 |
2 | + | 5 | + | 8 | + | 10 | + | 20 | + | 40 | = | 85 |
2 | + | 5 | + | 9 | + | 10 | + | 15 | + | 45 | = | 86 |
2 | + | 4 | + | 8 | + | 21 | + | 24 | + | 28 | = | 87 |
2 | + | 5 | + | 6 | + | 18 | + | 20 | + | 36 | = | 87 |
2 | + | 4 | + | 8 | + | 20 | + | 24 | + | 30 | = | 88 |
2 | + | 5 | + | 7 | + | 12 | + | 20 | + | 42 | = | 88 |
2 | + | 6 | + | 7 | + | 8 | + | 24 | + | 42 | = | 89 |
2 | + | 4 | + | 8 | + | 18 | + | 24 | + | 36 | = | 92 |
2 | + | 4 | + | 10 | + | 12 | + | 24 | + | 40 | = | 92 |
2 | + | 5 | + | 6 | + | 14 | + | 30 | + | 35 | = | 92 |
2 | + | 5 | + | 6 | + | 15 | + | 24 | + | 40 | = | 92 |
2 | + | 5 | + | 8 | + | 9 | + | 24 | + | 45 | = | 93 |
2 | + | 4 | + | 9 | + | 15 | + | 20 | + | 45 | = | 95 |
2 | + | 4 | + | 10 | + | 15 | + | 16 | + | 48 | = | 95 |
2 | + | 5 | + | 7 | + | 10 | + | 30 | + | 42 | = | 96 |
2 | + | 4 | + | 9 | + | 16 | + | 18 | + | 48 | = | 97 |
2 | + | 5 | + | 6 | + | 16 | + | 20 | + | 48 | = | 97 |
2 | + | 4 | + | 8 | + | 15 | + | 30 | + | 40 | = | 99 |
3 | + | 4 | + | 5 | + | 6 | + | 36 | + | 45 | = | 99 |
2 | + | 6 | + | 7 | + | 8 | + | 21 | + | 56 | = | 100 |
2 | + | 4 | + | 8 | + | 16 | + | 24 | + | 48 | = | 102 |
2 | + | 4 | + | 9 | + | 12 | + | 30 | + | 45 | = | 102 |
3 | + | 4 | + | 6 | + | 8 | + | 9 | + | 72 | = | 102 |
2 | + | 4 | + | 8 | + | 14 | + | 35 | + | 40 | = | 103 |
2 | + | 3 | + | 20 | + | 21 | + | 28 | + | 30 | = | 104 |
2 | + | 4 | + | 7 | + | 21 | + | 28 | + | 42 | = | 104 |
2 | + | 4 | + | 7 | + | 20 | + | 30 | + | 42 | = | 105 |
2 | + | 5 | + | 6 | + | 12 | + | 36 | + | 45 | = | 106 |
2 | + | 3 | + | 18 | + | 21 | + | 28 | + | 36 | = | 108 |
2 | + | 4 | + | 9 | + | 15 | + | 18 | + | 60 | = | 108 |
2 | + | 4 | + | 10 | + | 12 | + | 20 | + | 60 | = | 108 |
2 | + | 4 | + | 9 | + | 12 | + | 27 | + | 54 | = | 108 |
2 | + | 5 | + | 6 | + | 15 | + | 20 | + | 60 | = | 108 |
3 | + | 4 | + | 5 | + | 6 | + | 30 | + | 60 | = | 108 |
2 | + | 3 | + | 18 | + | 20 | + | 30 | + | 36 | = | 109 |
2 | + | 4 | + | 7 | + | 18 | + | 36 | + | 42 | = | 109 |
2 | + | 6 | + | 8 | + | 9 | + | 12 | + | 72 | = | 109 |
2 | + | 5 | + | 7 | + | 9 | + | 42 | + | 45 | = | 110 |
2 | + | 4 | + | 8 | + | 14 | + | 28 | + | 56 | = | 112 |
2 | + | 4 | + | 8 | + | 15 | + | 24 | + | 60 | = | 113 |
2 | + | 3 | + | 15 | + | 24 | + | 30 | + | 40 | = | 114 |
2 | + | 4 | + | 7 | + | 21 | + | 24 | + | 56 | = | 114 |
2 | + | 5 | + | 6 | + | 12 | + | 30 | + | 60 | = | 115 |
2 | + | 5 | + | 8 | + | 9 | + | 20 | + | 72 | = | 116 |
3 | + | 4 | + | 5 | + | 6 | + | 28 | + | 70 | = | 116 |
2 | + | 3 | + | 16 | + | 21 | + | 28 | + | 48 | = | 118 |
2 | + | 3 | + | 15 | + | 21 | + | 35 | + | 42 | = | 118 |
2 | + | 3 | + | 14 | + | 24 | + | 35 | + | 40 | = | 118 |
2 | + | 5 | + | 6 | + | 14 | + | 21 | + | 70 | = | 118 |
2 | + | 3 | + | 16 | + | 20 | + | 30 | + | 48 | = | 119 |
2 | + | 4 | + | 7 | + | 16 | + | 42 | + | 48 | = | 119 |
2 | + | 3 | + | 15 | + | 20 | + | 36 | + | 45 | = | 121 |
2 | + | 5 | + | 8 | + | 10 | + | 16 | + | 80 | = | 121 |
2 | + | 4 | + | 7 | + | 18 | + | 28 | + | 63 | = | 122 |
2 | + | 3 | + | 16 | + | 18 | + | 36 | + | 48 | = | 123 |
2 | + | 4 | + | 6 | + | 30 | + | 36 | + | 45 | = | 123 |
2 | + | 4 | + | 9 | + | 12 | + | 24 | + | 72 | = | 123 |
2 | + | 5 | + | 6 | + | 12 | + | 28 | + | 70 | = | 123 |
2 | + | 4 | + | 8 | + | 12 | + | 42 | + | 56 | = | 124 |
2 | + | 4 | + | 8 | + | 12 | + | 40 | + | 60 | = | 126 |
2 | + | 3 | + | 14 | + | 24 | + | 28 | + | 56 | = | 127 |
2 | + | 3 | + | 12 | + | 30 | + | 36 | + | 45 | = | 128 |
2 | + | 3 | + | 15 | + | 21 | + | 28 | + | 60 | = | 129 |
2 | + | 4 | + | 6 | + | 26 | + | 39 | + | 52 | = | 129 |
2 | + | 4 | + | 10 | + | 14 | + | 15 | + | 84 | = | 129 |
2 | + | 4 | + | 6 | + | 27 | + | 36 | + | 54 | = | 129 |
2 | + | 3 | + | 15 | + | 20 | + | 30 | + | 60 | = | 130 |
2 | + | 4 | + | 7 | + | 15 | + | 42 | + | 60 | = | 130 |
2 | + | 4 | + | 9 | + | 10 | + | 45 | + | 60 | = | 130 |
2 | + | 4 | + | 8 | + | 16 | + | 20 | + | 80 | = | 130 |
2 | + | 4 | + | 9 | + | 14 | + | 18 | + | 84 | = | 131 |
2 | + | 5 | + | 6 | + | 14 | + | 20 | + | 84 | = | 131 |
2 | + | 3 | + | 15 | + | 18 | + | 36 | + | 60 | = | 134 |
2 | + | 3 | + | 12 | + | 27 | + | 36 | + | 54 | = | 134 |
2 | + | 3 | + | 12 | + | 26 | + | 39 | + | 52 | = | 134 |
2 | + | 3 | + | 14 | + | 20 | + | 35 | + | 60 | = | 134 |
2 | + | 4 | + | 6 | + | 24 | + | 42 | + | 56 | = | 134 |
2 | + | 4 | + | 8 | + | 12 | + | 36 | + | 72 | = | 134 |
2 | + | 3 | + | 15 | + | 18 | + | 35 | + | 63 | = | 136 |
2 | + | 4 | + | 8 | + | 14 | + | 24 | + | 84 | = | 136 |
2 | + | 4 | + | 10 | + | 12 | + | 18 | + | 90 | = | 136 |
2 | + | 4 | + | 6 | + | 24 | + | 40 | + | 60 | = | 136 |
2 | + | 5 | + | 6 | + | 15 | + | 18 | + | 90 | = | 136 |
2 | + | 4 | + | 9 | + | 10 | + | 40 | + | 72 | = | 137 |
2 | + | 3 | + | 15 | + | 20 | + | 28 | + | 70 | = | 138 |
2 | + | 3 | + | 12 | + | 24 | + | 42 | + | 56 | = | 139 |
2 | + | 3 | + | 14 | + | 21 | + | 30 | + | 70 | = | 140 |
2 | + | 4 | + | 6 | + | 28 | + | 30 | + | 70 | = | 140 |
2 | + | 3 | + | 12 | + | 24 | + | 40 | + | 60 | = | 141 |
2 | + | 3 | + | 14 | + | 18 | + | 42 | + | 63 | = | 142 |
3 | + | 4 | + | 5 | + | 6 | + | 25 | + | 100 | = | 143 |
2 | + | 3 | + | 15 | + | 16 | + | 48 | + | 60 | = | 144 |
2 | + | 4 | + | 6 | + | 24 | + | 36 | + | 72 | = | 144 |
2 | + | 4 | + | 6 | + | 22 | + | 44 | + | 66 | = | 144 |
2 | + | 5 | + | 6 | + | 10 | + | 55 | + | 66 | = | 144 |
2 | + | 3 | + | 12 | + | 28 | + | 30 | + | 70 | = | 145 |
2 | + | 3 | + | 16 | + | 20 | + | 24 | + | 80 | = | 145 |
2 | + | 4 | + | 8 | + | 12 | + | 33 | + | 88 | = | 147 |
2 | + | 4 | + | 7 | + | 15 | + | 35 | + | 84 | = | 147 |
2 | + | 4 | + | 9 | + | 12 | + | 22 | + | 99 | = | 148 |
2 | + | 4 | + | 7 | + | 14 | + | 44 | + | 77 | = | 148 |
2 | + | 5 | + | 7 | + | 8 | + | 56 | + | 70 | = | 148 |
2 | + | 5 | + | 6 | + | 10 | + | 50 | + | 75 | = | 148 |
2 | + | 3 | + | 12 | + | 22 | + | 44 | + | 66 | = | 149 |
2 | + | 3 | + | 12 | + | 24 | + | 36 | + | 72 | = | 149 |
2 | + | 5 | + | 6 | + | 12 | + | 25 | + | 100 | = | 150 |
2 | + | 4 | + | 9 | + | 10 | + | 36 | + | 90 | = | 151 |
2 | + | 5 | + | 6 | + | 10 | + | 48 | + | 80 | = | 151 |
2 | + | 3 | + | 14 | + | 21 | + | 28 | + | 84 | = | 152 |
2 | + | 3 | + | 10 | + | 40 | + | 42 | + | 56 | = | 153 |
2 | + | 3 | + | 14 | + | 20 | + | 30 | + | 84 | = | 153 |
2 | + | 4 | + | 6 | + | 20 | + | 55 | + | 66 | = | 153 |
2 | + | 4 | + | 7 | + | 14 | + | 42 | + | 84 | = | 153 |
2 | + | 4 | + | 8 | + | 12 | + | 32 | + | 96 | = | 154 |
2 | + | 4 | + | 6 | + | 21 | + | 44 | + | 77 | = | 154 |
2 | + | 3 | + | 15 | + | 16 | + | 40 | + | 80 | = | 156 |
2 | + | 3 | + | 15 | + | 17 | + | 34 | + | 85 | = | 156 |
2 | + | 3 | + | 10 | + | 36 | + | 45 | + | 60 | = | 156 |
2 | + | 3 | + | 14 | + | 18 | + | 36 | + | 84 | = | 157 |
2 | + | 4 | + | 6 | + | 20 | + | 50 | + | 75 | = | 157 |
2 | + | 4 | + | 8 | + | 11 | + | 44 | + | 88 | = | 157 |
2 | + | 4 | + | 6 | + | 24 | + | 33 | + | 88 | = | 157 |
2 | + | 3 | + | 12 | + | 20 | + | 55 | + | 66 | = | 158 |
2 | + | 3 | + | 10 | + | 35 | + | 45 | + | 63 | = | 158 |
2 | + | 3 | + | 15 | + | 18 | + | 30 | + | 90 | = | 158 |
2 | + | 5 | + | 6 | + | 10 | + | 45 | + | 90 | = | 158 |
2 | + | 3 | + | 12 | + | 21 | + | 44 | + | 77 | = | 159 |
2 | + | 4 | + | 6 | + | 21 | + | 42 | + | 84 | = | 159 |
2 | + | 4 | + | 6 | + | 20 | + | 48 | + | 80 | = | 160 |
2 | + | 3 | + | 10 | + | 35 | + | 42 | + | 70 | = | 162 |
2 | + | 3 | + | 14 | + | 18 | + | 35 | + | 90 | = | 162 |
2 | + | 3 | + | 12 | + | 24 | + | 33 | + | 88 | = | 162 |
2 | + | 3 | + | 12 | + | 20 | + | 50 | + | 75 | = | 162 |
2 | + | 3 | + | 10 | + | 36 | + | 40 | + | 72 | = | 163 |
2 | + | 3 | + | 12 | + | 21 | + | 42 | + | 84 | = | 164 |
2 | + | 4 | + | 6 | + | 24 | + | 32 | + | 96 | = | 164 |
2 | + | 4 | + | 6 | + | 19 | + | 57 | + | 76 | = | 164 |
2 | + | 3 | + | 15 | + | 20 | + | 25 | + | 100 | = | 165 |
2 | + | 3 | + | 12 | + | 20 | + | 48 | + | 80 | = | 165 |
2 | + | 3 | + | 10 | + | 30 | + | 55 | + | 66 | = | 166 |
2 | + | 3 | + | 14 | + | 16 | + | 48 | + | 84 | = | 167 |
2 | + | 4 | + | 6 | + | 20 | + | 45 | + | 90 | = | 167 |
2 | + | 4 | + | 6 | + | 25 | + | 30 | + | 100 | = | 167 |
2 | + | 3 | + | 12 | + | 19 | + | 57 | + | 76 | = | 169 |
2 | + | 3 | + | 12 | + | 24 | + | 32 | + | 96 | = | 169 |
2 | + | 4 | + | 7 | + | 13 | + | 52 | + | 91 | = | 169 |
2 | + | 4 | + | 6 | + | 22 | + | 36 | + | 99 | = | 169 |
2 | + | 3 | + | 10 | + | 30 | + | 50 | + | 75 | = | 170 |
2 | + | 3 | + | 11 | + | 24 | + | 44 | + | 88 | = | 172 |
2 | + | 3 | + | 12 | + | 25 | + | 30 | + | 100 | = | 172 |
2 | + | 3 | + | 12 | + | 20 | + | 45 | + | 90 | = | 172 |
2 | + | 3 | + | 10 | + | 28 | + | 60 | + | 70 | = | 173 |
2 | + | 3 | + | 10 | + | 30 | + | 48 | + | 80 | = | 173 |
2 | + | 3 | + | 12 | + | 22 | + | 36 | + | 99 | = | 174 |
2 | + | 3 | + | 10 | + | 33 | + | 40 | + | 88 | = | 176 |
2 | + | 4 | + | 6 | + | 18 | + | 63 | + | 84 | = | 177 |
2 | + | 3 | + | 14 | + | 15 | + | 60 | + | 84 | = | 178 |
2 | + | 3 | + | 11 | + | 21 | + | 66 | + | 77 | = | 180 |
2 | + | 3 | + | 10 | + | 30 | + | 45 | + | 90 | = | 180 |
2 | + | 3 | + | 9 | + | 45 | + | 55 | + | 66 | = | 180 |
2 | + | 4 | + | 6 | + | 18 | + | 60 | + | 90 | = | 180 |
2 | + | 3 | + | 12 | + | 18 | + | 63 | + | 84 | = | 182 |
2 | + | 3 | + | 10 | + | 32 | + | 40 | + | 96 | = | 183 |
2 | + | 3 | + | 10 | + | 26 | + | 65 | + | 78 | = | 184 |
2 | + | 3 | + | 9 | + | 45 | + | 50 | + | 75 | = | 184 |
2 | + | 3 | + | 9 | + | 42 | + | 56 | + | 72 | = | 184 |
2 | + | 3 | + | 12 | + | 18 | + | 60 | + | 90 | = | 185 |
2 | + | 3 | + | 10 | + | 27 | + | 54 | + | 90 | = | 186 |
2 | + | 3 | + | 9 | + | 40 | + | 60 | + | 72 | = | 186 |
2 | + | 4 | + | 8 | + | 10 | + | 72 | + | 90 | = | 186 |
2 | + | 3 | + | 9 | + | 45 | + | 48 | + | 80 | = | 187 |
2 | + | 4 | + | 5 | + | 55 | + | 60 | + | 66 | = | 192 |
2 | + | 4 | + | 7 | + | 12 | + | 78 | + | 91 | = | 194 |
2 | + | 4 | + | 5 | + | 50 | + | 60 | + | 75 | = | 196 |
2 | + | 3 | + | 9 | + | 36 | + | 63 | + | 84 | = | 197 |
2 | + | 4 | + | 5 | + | 48 | + | 60 | + | 80 | = | 199 |
2 | + | 3 | + | 10 | + | 25 | + | 60 | + | 100 | = | 200 |
2 | + | 3 | + | 9 | + | 36 | + | 60 | + | 90 | = | 200 |
2 | + | 3 | + | 10 | + | 24 | + | 72 | + | 90 | = | 201 |
2 | + | 3 | + | 9 | + | 35 | + | 63 | + | 90 | = | 202 |
2 | + | 4 | + | 5 | + | 44 | + | 70 | + | 77 | = | 202 |
2 | + | 4 | + | 5 | + | 45 | + | 63 | + | 84 | = | 203 |
2 | + | 4 | + | 5 | + | 45 | + | 60 | + | 90 | = | 206 |
2 | + | 3 | + | 9 | + | 33 | + | 72 | + | 88 | = | 207 |
2 | + | 4 | + | 5 | + | 42 | + | 70 | + | 84 | = | 207 |
2 | + | 3 | + | 9 | + | 33 | + | 66 | + | 99 | = | 212 |
2 | + | 4 | + | 5 | + | 40 | + | 72 | + | 90 | = | 213 |
2 | + | 3 | + | 9 | + | 32 | + | 72 | + | 96 | = | 214 |
2 | + | 4 | + | 5 | + | 38 | + | 76 | + | 95 | = | 220 |
2 | + | 3 | + | 10 | + | 22 | + | 90 | + | 99 | = | 226 |
2 | + | 3 | + | 8 | + | 63 | + | 72 | + | 84 | = | 232 |
2 | + | 3 | + | 8 | + | 60 | + | 72 | + | 90 | = | 235 |
2 | + | 3 | + | 8 | + | 56 | + | 78 | + | 91 | = | 238 |
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