欧拉工程第九解

| Comments

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.

解:

1
2
3
4
5
6
7
8
9
10
flag = False
for a in range(1,1000):
    for b in range(1,1000):
        if a ** 2 + b ** 2 == (1000 - a - b) ** 2:
            print a,b,(1000 - a - b)
            print a * b * (1000 - a - b)
            flag = True
            break
    if flag:
        break