Ddcc 2018年7月25日 14:08 email@example.com
完全幂 perfect power positive integers
A perfect power is a classification of positive integers:
In mathematics, a perfect power is a positive integer that can be expressed as an integer power of another positive integer. More formally, n is a perfect power if there exist natural numbers m > 1, and k > 1 such that mk = n.
Your task is to check wheter a given integer is a perfect power. If it is a perfect power, return a pair m and kwith mk = n as a proof. Otherwise return Nothing, Nil, null, NULL, None or your language's equivalent.
Note: For a perfect power, there might be several pairs. For example 81 = 3^4 = 9^2, so (3,4) and (9,2)are valid solutions. However, the tests take care of this, so if a number is a perfect power, return any pair that proves it.