3,4,5 5,12,13 6,8,10 7,24,25 8,15,17

9,12,15 9,40,41 10,24,26 11,60,61

12,16,20 12,35,37 13,84,85 14,48,50

15,20,25 15,36,39 15,112,113 16,30,34

16,63,65 17,144,145 18,24,30 18,80,82

20,21,29 20,48,52 20,99,101 21,28,35

21,72,75 22,120,122 24,32,40 24,45,51

24,70,74 24,143,145 25,60,65 27,36,45

27,120,123 28,45,53 28,96,100 30,40,50

30,72,78 32,60,68 32,126,130 33,44,55

33,56,65 35,84,91 35,120,125 36,48,60

36,77,85 36,105,111 39,52,65 39,80,89

40,42,58 40,75,85 40,96,104 42,56,70

42,144,150 44,117,125 45,60,75

45,108,117 48,55,73 48,64,80 48,90,102

48,140,148 50,120,130 51,68,85

51,140,149 54,72,90 55,132,143

56,90,106 56,105,119 57,76,95 60,63,87

60,80,100 60,91,109 63,84,105

64,120,136 65,72,97 66,88,110

66,112,130 69,92,115 72,96,120

75,100,125 78,104,130 80,84,116

81,108,135 84,112,140 87,116,145

88,105,137 90,120,150 96,110,146

100,105,145

勾股定理是我們中華名族的驕傲，可惜在很多書上都不是這樣命名的。今天我們來算算勾股數，也就是說給定一個正整數N，找出所有小於N的三個正整數a，b，c，滿足：a*a+b*b=c*c，且a<=b < c以及a，b，c三者的最大公約數為1。

150以內有15組

6,8,10

3 4 5

5 12 13

7 24 25

9 40 41

11 60 61

13 84 85

15 112 113

8,15,17

12,35,37

20,21,29

20,99,101

48,55,73

60,91,109