欧拉工程-问题9
原题链接 http://projecteuler.net/problem=9
Special Pythagorean triplet
A Pythagorean triplet is a set of three natural numbers, a < b < c, for which,
a2 + b2 = c2
For example, 32 + 42 = 9 + 16 = 25 = 52.
There exists exactly one Pythagorean triplet for which a + b + c = 1000.
Find the product abc.
特殊的毕达哥拉斯三元组
一个毕达哥拉斯三元组指的是三个自然数, a < b < c ,且
a2 + b2 = c2
例如,32 + 42 = 9 + 16 = 25 = 52.
有且只有一组毕达哥拉斯三元组满足 a + b + c = 1000.
求abc的乘积
解答:
将 c = 1000 - a - b代入a2 + b2 = c2
得到1000 (a + b) = 500000 + a b
暴力找到满足这个条件的a和b.