Close Enough

Close Enough

Moderate
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除非a, b 的质因数已经合作,否则Fundamental Theorem of Arithmetic 的铁腕规定,对于任何两个正整数指数papb ,整数幂a**pab**pb 永远不可能相等。不过,本着“close enough for government work” 的欢快精神,如果abs(a**pa-b**pb) 乘以tolerance 的差最多等于这两个幂中较小的一个,我们就定义这两个幂为 "命中"。(这个定义有意避免了除法,以保证对任意大整数的计算既快速又准确)。例如,tolerance=100 希望a**pab**pb 在 1 % 的范围内。

对于给定的正整数,a, b 返回满足 要求的最小正整数指数。 (pa, pb)满足tolerance 要求的最小正整数指数。

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