ProjectEuler 484 Arithmetic Derivative - 拼圖

By Iris
at 2014-10-14T18:43
at 2014-10-14T18:43
Table of Contents
484. Arithmetic Derivative
http://projecteuler.net/problem=484
運算導數(Arithmetic Derivative)定義為:
● p'=1,適用於任何質數p
● 對於所有的整數a,b,則有(ab)'=a'*b+a*b'(萊布尼茲法則)
舉例,20'=24
試求出 1<k<=5*10^15的情況下,gcd(k,k')的總和
附註: gcd(x,y)表示為x與y的最大公因數
--
http://projecteuler.net/problem=484
運算導數(Arithmetic Derivative)定義為:
● p'=1,適用於任何質數p
● 對於所有的整數a,b,則有(ab)'=a'*b+a*b'(萊布尼茲法則)
舉例,20'=24
試求出 1<k<=5*10^15的情況下,gcd(k,k')的總和
附註: gcd(x,y)表示為x與y的最大公因數
--
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