The 2019 ACM-ICPC China Shannxi Provincial Programming Contest B. Product(杜教筛+约数)
版权声明:本文为博主原创文章,未经博主允许不得转载。 https://blog.csdn.net/ftx456789/article/details/91346129 题意 给你 n ( n ≤ 1 0 9 ) n(n\leq 10^9) n ( n ≤ 1 0 9 ) , m ( m ≤ 2 × 1 0 9 ) m(m\leq 2\times10^9) m ( m ≤ 2 × 1 0 9 ) , p ( p ≤ 2 × 1 0 9 ) p(p\leq 2\times10^9 ) p ( p ≤ 2 × 1 0 9 ) , p p p 为质数求 ∏ i = 1 n ∏ j = 1 n ∏ k = 1 n m g c d ( i , j ) [ k g c d ( i , j ) ] \prod_{i=1}^n\prod_{j=1}^n\prod_{k=1}^nm^{gcd(i,j)[k|gcd(i,j)]} i = 1 ∏ n j = 1 ∏ n k = 1 ∏ n m g c d ( i , j ) [ k g c d ( i , j ) ] ģ p p p 的答案 ˼· 我们先只考虑指数部分和欧拉降幂那么有 ∑ i = 1 n ∑ j = 1 n ∑ k = 1 n g c d ( i , j ) [ k g c d ( i , j ) ] m o d p 1 \sum_{i