题解:这个题目看着挺吓人的,如果仔细想想的话,应该能想出来.题解还是挺好的理解的. 首先设gcd(a1,a2,a3...an)=i,那么a1~an一定是i的倍数,所以ai一共有k/i种取值.有n个数,所有就有(k/i)^n种情况.光是这样还是不行的,因为a1~an的gcd可能为j*i.所以我们要减去2*i,3*i......j*i<=k.倒着来就可以了,复杂度应该是o(nlogn) code: #include<bits/stdc++.h> using namespace std; ty…

http://acm.hdu.edu.cn/showproblem.php?pid=1695 要求[L1, R1]和[L2, R2]中GCD是K的个数.那么只需要求[L1, R1 / K]  和 [L2, R2 / K]中GCD是1的对数. 由于(1, 2)和(2, 1)是同一对. 那么我们枚举大区间,限制数字一定是小于等于枚举的那个数字就行. 比如[1, 3]和[1, 5] 我们枚举大区间,[1, 5],在[1, 3]中找互质的时候,由于又需要要小于枚举数字,那么直接上phi 对于其他的,比如…

题意:给定一个数组,每次他会从中选出若干个(至少一个数),求出所有数的GCD然后放回去,为了使自己不会无聊,会把每种不同的选法都选一遍,想知道他得到的所有GCD的和是多少. 析:枚举gcd,然后求每个gcd产生的个数,这里要使用容斥定理,f[i]表示的是 gcd 是 i 的个数,g[i] 表示的是 gcd 是 i 倍数的,f[i] = g[i] - f[j] (i|j). 代码如下: #pragma comment(linker, "/STACK:1024000000,1024000000&qu…

[题目] The sum of gcd Problem Description You have an array A,the length of A is nLet f(l,r)=∑ri=l∑rj=igcd(ai,ai+1....aj) Input There are multiple test cases. The first line of input contains an integer T, indicating the number of test cases. For each…

The sum of gcd Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others) Problem Description You have an array A,the length of A is nLet f(l,r)=∑ri=l∑rj=igcd(ai,ai+1....aj)   Input There are multiple test cases. The first li…

Sum Of Gcd 题目连接: http://acm.hdu.edu.cn/showproblem.php?pid=4676 Description Given you a sequence of number a1, a2, ..., an, which is a permutation of 1...n. You need to answer some queries, each with the following format: Give you two numbers L, R, y…

Given you a sequence of number a 1, a 2, ..., a n, which is a permutation of 1...n. You need to answer some queries, each with the following format: Give you two numbers L, R, you should calculate sum of gcd(a[i], a[j]) for every L <= i < j <= R.…

任意门:http://acm.hdu.edu.cn/showproblem.php?pid=4676 Sum Of Gcd Time Limit: 10000/5000 MS (Java/Others)    Memory Limit: 65535/32768 K (Java/Others)Total Submission(s): 908    Accepted Submission(s): 438 Problem Description Given you a sequence of numb…

The sum of gcd Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others) Total Submission(s): 23    Accepted Submission(s): 4 Problem Description You have an array A,the length of A is n Let f(l,r)=∑ri=l∑rj=igcd(ai,ai+1....a…

题目链接:hdu 5381 The sum of gcd 将查询离线处理,依照r排序,然后从左向右处理每一个A[i],碰到查询时处理.用线段树维护.每一个节点表示从[l,i]中以l为起始的区间gcd总和.所以每次改动时须要处理[1,i-1]与i的gcd值.可是由于gcd值是递减的,成log级,对于每一个gcd值记录其区间就可以.然后用线段树段改动,可是是改动一个等差数列. #include <cstdio> #include <cstring> #include <vecto…