projecteuler---->problem=29----Distinct powers

Problem 29

Consider all integer combinations of a^b for 2 ≤ a ≤ 5 and 2 ≤ b ≤ 5:

2 ²=4, 2 ³=8, 2 ⁴=16, 2 ⁵=32
3 ²=9, 3 ³=27, 3 ⁴=81, 3 ⁵=243
4 ²=16, 4 ³=64, 4 ⁴=256, 4 ⁵=1024
5 ²=25, 5 ³=125, 5 ⁴=625, 5 ⁵=3125

If they are then placed in numerical order, with any repeats removed, we get the following sequence of 15 distinct terms:

4, 8, 9, 16, 25, 27, 32, 64, 81, 125, 243, 256, 625, 1024, 3125

How many distinct terms are in the sequence generated by a^b for 2 ≤ a ≤ 100 and 2 ≤ b ≤ 100?

x=set()
for a in range(2,101):
	for b in range(2,101):
		x.add(a**b)
print len(x)

利用set 集合的无序，不重复性计算