若3個相異正整數的倒數和等於1,求此3數和的最小值。

3個相異正整數的倒數和等於1,只有1組解,而3數和的最小值為11。
2 + 3 + 6 = 11


若4個相異正整數的倒數和等於1,求此4數和的最小值。

4個相異正整數的倒數和等於1,只有6組解,而4數和的最小值為24。
2 + 4 + 6 + 12 = 24
2 + 3 + 10 + 15 = 30
2 + 4 + 5 + 20 = 31
2 + 3 + 9 + 18 = 32
2 + 3 + 8 + 24 = 37
2 + 3 + 7 + 42 = 54


若100之內的5個相異正整數其倒數和等於1,求此5數和的最小值。

100之內的5個相異正整數其倒數和等於1,只有42組解,而5數和的最小值為38。
3 + 4 + 5 + 6 + 20 = 38
2 + 4 + 10 + 12 + 15 = 43
2 + 4 + 9 + 12 + 18 = 45
2 + 5 + 6 + 12 + 20 = 45
2 + 4 + 8 + 12 + 24 = 50
2 + 5 + 6 + 10 + 30 = 53
2 + 4 + 7 + 14 + 28 = 55
2 + 4 + 6 + 21 + 28 = 61
2 + 4 + 6 + 20 + 30 = 62
2 + 4 + 8 + 10 + 40 = 64
2 + 3 + 12 + 21 + 28 = 66
2 + 4 + 6 + 18 + 36 = 66
2 + 3 + 12 + 20 + 30 = 67
2 + 4 + 7 + 12 + 42 = 67
2 + 5 + 6 + 9 + 45 = 67
2 + 3 + 14 + 15 + 35 = 69
2 + 3 + 12 + 18 + 36 = 71
2 + 3 + 11 + 22 + 33 = 71
2 + 4 + 6 + 16 + 48 = 76
2 + 3 + 10 + 24 + 40 = 79
2 + 3 + 12 + 16 + 48 = 81
2 + 4 + 6 + 15 + 60 = 87
2 + 3 + 9 + 30 + 45 = 89
2 + 3 + 12 + 15 + 60 = 92
2 + 4 + 5 + 36 + 45 = 92
2 + 3 + 9 + 27 + 54 = 95
2 + 3 + 10 + 20 + 60 = 95
2 + 4 + 8 + 9 + 72 = 95
2 + 4 + 5 + 30 + 60 = 101
2 + 4 + 5 + 28 + 70 = 109
2 + 3 + 9 + 24 + 72 = 110
2 + 4 + 6 + 14 + 84 = 110
2 + 3 + 8 + 42 + 56 = 111
2 + 3 + 8 + 40 + 60 = 113
2 + 3 + 12 + 14 + 84 = 115
2 + 3 + 8 + 36 + 72 = 121
2 + 3 + 10 + 18 + 90 = 123
2 + 3 + 8 + 33 + 88 = 134
2 + 3 + 9 + 22 + 99 = 135
2 + 4 + 5 + 25 + 100 = 136
2 + 3 + 8 + 32 + 96 = 141
2 + 3 + 7 + 78 + 91 = 181

Posted by 搗蛋鬼 at 痞客邦 PIXNET Guestbook(0) 人氣()