Winter is here at the North and the White Walkers are close. John Snow has an army consisting of n soldiers. While the rest of the world is fighting for the Iron Throne, he is going to get ready for the attack of the White Walkers. He has created a m…

[题目链接] http://codeforces.com/contest/839/problem/D [题目大意] 给出一些数,求取出一些数,当他们的GCD大于0时,将数量乘GCD累加到答案上, 求累加和. [题解] 我们枚举GCD,统计为其倍数的数字数量,先假定其能组成的集合数为贡献, 但是我们发现在统计的过程中有多余统计的部分,比如4和8是2的倍数, 然而它们的GCD等于4,所以我们对于每个集合数的贡献要减去所有其倍数的集合数的贡献, 倒着容斥即可. [代码] #include <cstdi…

赛后听 Forever97 讲的思路,强的一匹- - /* CodeForces 839D - Winter is here [ 数论,容斥 ] | Codeforces Round #428 (Div. 2) 题意: 给出数列a[N] 对每个子集,若 gcd(a[I1], a[I2], a[I3] ..., a[In]) > 1,则贡献为 n*gcd 求总贡献和 限制: N <= 2e5,a[i] <= 1e6 分析: 记录 num[i]数组为 i 的倍数的个数 则 gcd >=…

D. Winter is here time limit per test:3 seconds memory limit per test:256 megabytes input:standard input output:standard output Winter is here at the North and the White Walkers are close. John Snow has an army consisting of n soldiers. While the res…

链接:CF839D 题目大意 给定一个数组大小为\(n(1\leq n\leq 200000)\)的数组\(a\),满足\(1\leq a_i \leq 1000000\). 选择其中任意\(len\)个数字,若\(gcd>1\),则该组数字对答案贡献为\(len*gcd\),求最终答案对\(1e9+7\)取模. 题目分析 因为\(gcd\)的本质是因数分解,可以想到,如果不考虑算重,那么: 对于一个\(gcd\)的结果\(x\),若有\(num\)个数含有\(x\)这个因数,则被选择的数可形成…

hdu4135 求[L,R]范围内与N互质的数的个数. 分别求[1,L]和[1,R]和n互质的个数,求差. 利用容斥原理求解. 二进制枚举每一种质数的组合,奇加偶减. #include <bits/stdc++.h> using namespace std; typedef long long ll; ; int fac[N], cnt; void factor(int n) { cnt = ; int limit = sqrt(n); ; i <= limit; ++i) { ) fa…

Hidden Code 题目连接: http://codeforces.com/gym/100015/attachments Description It's time to put your hacking skills to the test! You've been called upon to help crack enemy codes in the current war on... something or another. Anyway, the point is that yo…

A. ArielTime Limit: 20 Sec Memory Limit: 256 MB 题目连接 http://codeforces.com/gym/100685/problem/A Description King Triton really likes watching sport competitions on TV. But much more Triton likes watching live competitions. So Triton decides to set up…

G. #TheDress Time Limit: 20 Sec Memory Limit: 256 MB 题目连接 http://codeforces.com/gym/100637/problem/G Description After landing on planet i1c5l people noticed that blue and black clothes are quite popular among the locals. Each aboriginal has at least…

Couple Cover Time Limit: 3000MS   Memory Limit: 524288KB   64bit IO Format: %I64d & %I64u Description 方宝宝有n个篮球,每个篮球上写有一个值ai.他第一次从n个篮球中取出1个,不放回.第二次再在剩余的篮球中取出一个. (每个球被取概率相同).如果这两个球上的值的乘积大于等于p,他会变得高兴,然后请大家吃饭.否则方宝宝会不高兴, 然后暴食暴饮变得更胖. 当然为了方宝宝的健康(被请吃饭),我想取一个…