Distinct powers

https://projecteuler.net/problem=29

Distinct powers

Problem 29

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

2²=4, 2³=8, 2⁴=16, 2⁵=32
3²=9, 3³=27, 3⁴=81, 3⁵=243
4²=16, 4³=64, 4⁴=256, 4⁵=1024
5²=25, 5³=125, 5⁴=625, 5⁵=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?

方法很简单，算出来放到集合里，最后算一下有多少个，即可。

不然，还要自己去算哪些会重复，忒麻烦。

def distinctPowers():
    allNumber=set()
    for i in range(2,101):
        temp = i
        for j in range(2,101):
            temp *= i
            allNumber.add(temp)
    return len(allNumber)
            

print(distinctPowers())