title:
A Pythagorean triplet is a set of three natural numbers, a b
c, for which,
a
2 +
b
2 =
c
2
For example, 32 + 42 = 9 + 16 = 25 = 52.
There exists exactly one Pythagorean triplet for which a + b + c = 1000.
Find the product abc.
勾股数组就是三个自然数a, b, c:
a
2 +
b
2 =
c
2
(a < b < c)
比如,32 + 42 = 9 + 16 = 25 = 52。
现存在唯一的勾股数组a, b, c,且a + b + c = 1000。请求出这三个数的乘积。
def resu():
for i in range(1,1000):
for j in range(1,1000):
k=1000-i-j
if i*i+j*j==k*k:
print i*j*k
return
resu()