Project Euler 第29题

Consider all integer combinations of ab 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?

最简单的办法,使用集合,将所有结果都添加到集合里,返回集合长度即可。

2,4,16;3,9,81;5,25;6,36;7,49;8,64;这些数中间有很多重复的。比如2和4之间只有100个不重复的结果。

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