How many integers can you find Time Limit:5000MS     Memory Limit:32768KB     64bit IO Format:%I64d & %I64u Submit Status Practice HDU 1796 Description   Now you get a number N, and a M-integers set, you should find out how many integers which are sm…

How many integers can you find Time Limit: 12000/5000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 5664    Accepted Submission(s): 1630 Problem Description   Now you get a number N, and a M-integers set, you shoul…

How many integers can you find Time Limit: 12000/5000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others) Total Submission(s): 3315    Accepted Submission(s): 937 Problem Description   Now you get a number N, and a M-integers set, you shoul…

How many integers can you find Time Limit: 12000/5000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others) Total Submission(s): 6434    Accepted Submission(s): 1849 Problem Description   Now you get a number N, and a M-integers set, you shou…

题意 就是给出一个整数n,一个具有m个元素的数组,求出1-n中有多少个数至少能整除m数组中的一个数 (1<=n<=10^18.m<=20) 题解 这题是容斥原理基本模型. 枚举n中有多少m中元素的个数,在结合LCM考虑容斥. #include<iostream> #include<cstring> #include<cstdio> #include<cmath> #include<algorithm> using namespa…

GCD Time Limit: 6000/3000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 4272    Accepted Submission(s): 1492 Problem Description Given 5 integers: a, b, c, d, k, you're to find x in a...b, y in c...d that GCD(x, y)…

http://acm.hdu.edu.cn/showproblem.php?pid=5768 Lucky7 Problem Description   When ?? was born, seven crows flew in and stopped beside him. In its childhood, ?? had been unfortunately fall into the sea. While it was dying, seven dolphins arched its bod…

题目地址: http://acm.hdu.edu.cn/showproblem.php?pid=4336 题意简单,直接用容斥原理即可 AC代码: #include <iostream> #include <cstdio> #include <cstring> #include <string> #include <cstdlib> #include <cmath> #include <vector> #include &…

题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=1695 题意:x位于区间[a, b],y位于区间[c, d],求满足GCD(x, y) = k的(x, y)有多少组,不考虑顺序. 思路:a = c = 1简化了问题,原问题可以转化为在[1, b/k]和[1, d/k]这两个区间各取一个数,组成的数对是互质的数量,不考虑顺序.我们让d > b,我们枚举区间[1, d/k]的数i作为二元组的第二位,因为不考虑顺序我们考虑第一位的值时,只用考虑小于i的情…

Now you get a number N, and a M-integers set, you should find out how many integers which are small than N, that they can divided exactly by any integers in the set. For example, N=12, and M-integer set is {2,3}, so there is another set {2,3,4,6,8,9,…

GCD Time Limit: 6000/3000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others) Total Submission(s): 9046    Accepted Submission(s): 3351 Problem Description Given 5 integers: a, b, c, d, k, you're to find x in a...b, y in c...d that GCD(x, y…

How many integers can you find Time Limit: 12000/5000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 4249    Accepted Submission(s): 1211 Problem Description   Now you get a number N, and a M-integers set, you shoul…

GCD and LCM Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65535/65535 K (Java/Others)Total Submission(s): 2982    Accepted Submission(s): 1305 Problem Description Given two positive integers G and L, could you tell me how many solutions of…

The Boss on Mars Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others) Total Submission(s): 2494    Accepted Submission(s): 775 Problem Description On Mars, there is a huge company called ACM (A huge Company on Mars), an…

题意:找出小于n是m个数每个数的倍数的数的个数. 思路:用二进制表示是那几个数的倍数. 二进制进行容斥,去掉小于0的数. #include <cstdio> #include <cstring> #include <algorithm> using namespace std; __int64 n,m,g; __int64 a[],b[]; __int64 gcd(__int64 a,__int64 b) { ?a:gcd(b,a%b); } int main() {…

题目,要求找出有多少对这样的东西,四个数,并且满足num[a]<num[b] &&num[c]>num[d] 要做这题,首先要懂得用树状数组,我设,下面的小于和大于都是严格的小于和大于 dpL_min[i]:表示在第i个数往左,(不包括第i个),有多少个数是少于num[i]的 dpL_max[i]:表示在第i个数往左,(不包括第i个),有多少个数是大于num[i]的 dpR_min[i]:表示在第i个数往右,(不包括第i个),有多少个数是小于num[i]的 dpR_max[i]…

这个分类怎么觉得这么水呢.. 这个分类做到尾的模板集: //gcd int gcd(int a,int b){return b? gcd(b, a % b) : a;} //埃氏筛法 O(nlogn) int prime[MAX_N]; bool is_prime[MAX_N];//i是不是素数 int sieve() { ; ; i <= n; i++) is_prime[i] = true; is_prime[] = is_prime[] = false; ; i <= n; i++) {…

/* HDU5514 Frogs http://acm.hdu.edu.cn/showproblem.php?pid=5514 容斥原理 * * */ #include <cstdio> #include <cmath> #include <algorithm> //#define test using namespace std; const long long Nmax=1e5; long long n,m,a[Nmax]; long long book[Nmax]…

作业 poj 1091 跳蚤 容斥原理. 考虑能否跳到旁边就是卡牌的\(gcd\)是否是1,可以根据裴蜀定理证明. 考虑正着做十分的麻烦,所以倒着做,也就是用\(M^N - (不合法)\)即可. 不合法显然就是\(gcd\)不为1的情况,那么我们考虑枚举\(gcd\),\((1 \leq gcd \leq 15)\),第\(n + 1\)个数一直是\(m\)所以不用理它. 考虑每个\(gcd\)的贡献,如果所有的都能被整除,那么产生的方案数就是: \(({m \over gcd})^n\) 表示…

题目传送:http://acm.hdu.edu.cn/diy/contest_showproblem.php?cid=20918&pid=1002 Problem Description   Now you get a number N, and a M-integers set, you should find out how many integers which are small than N, that they can divided exactly by any integers…

HDU.1796 How many integers can you find ( 组合数学 容斥原理 二进制枚举) 题意分析 求在[1,n-1]中,m个整数的倍数共有多少个 与 UVA.10325 The Lottery 一模一样. 前置技能和其一样,但是需要注意的有一下几点: 1. m个数字中可能有0 2. 要用long long 代码总览 #include <cstdio> #include <algorithm> #include <cstring> #incl…

题目链接 题意 : 给你N,然后再给M个数,让你找小于N的并且能够整除M里的任意一个数的数有多少,0不算. 思路 :用了容斥原理 : ans = sum{ 整除一个的数 } - sum{ 整除两个的数 } + sum{ 整除三个的数 }………………所以是奇加偶减,而整除 k 个数的数可以表示成 lcm(A1,A2,…,Ak) 的倍数的形式.所以算出最小公倍数, //HDU 1796 #include <cstdio> #include <iostream> #include <…

题目连接   http://acm.hdu.edu.cn/showproblem.php?pid=1796 处男容斥原理  纪念一下  TMD看了好久才明白DFS... 先贴代码后解释 #include<cstdio> #include<cstring> using namespace std; #define LL long long #define N 11 LL num[N],ans,n; int m,cnt; LL gcd(LL a,LL b) { int t; while…

How many integers can you find Time Limit: 12000/5000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others) Total Submission(s): 5556    Accepted Submission(s): 1593 Problem Description   Now you get a number N, and a M-integers set, you shou…

题意: 给一个N.然后给M个数,问1~N-1里面有多少个数能被这M个数中一个或多个数整除. 思路: 首先要N-- 然后对于每一个数M 事实上1~N-1内能被其整除的 就是有(N-1)/M[i]个 可是会出现反复 比方 例子 6就会被反复算 这时候我们就须要容斥原理了 加上一个数的减去两个数的.. 这里要注意了 两个数以上的时候 是求LCM而不是简单的相乘! 代码: #include "stdio.h" #include "string.h" #include &qu…

题意: 给你一个数n,找出来区间[1,n]内有多少书和n不互质 题解: 容斥原理 这一道题就让我真正了解容斥原理的实体部分 "容斥原理+枚举状态,碰到奇数加上(n-1)/lcm(a,b,c..) 碰到偶数减(n-1)/lcm(a,b,c...)" 这个是lcm(a,b,c,,,)可不是他们的乘积.. 注意了... 还有这道题输入会有0 代码: 1 #include<stdio.h> 2 #include<string.h> 3 #include<iostr…

H - Visible Trees Time Limit:1000MS     Memory Limit:32768KB     64bit IO Format:%I64d & %I64u Submit Status Practice HDU 2841 Description There are many trees forming a m * n grid, the grid starts from (1,1). Farmer Sherlock is standing at (0,0) poi…

题目链接: http://acm.hdu.edu.cn/showproblem.php?pid=4135 Co-prime Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others) Total Submission(s): 1176    Accepted Submission(s): 427 Problem Description Given a number N, you are a…

Frogs Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)Total Submission(s): 4904    Accepted Submission(s): 1631 Problem Description There are m stones lying on a circle, and n frogs are jumping over them.The stones…

题目链接:Coprime pid=5072"> 题面: Coprime Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 262144/262144 K (Java/Others) Total Submission(s): 1181    Accepted Submission(s): 471 Problem Description There are n people standing in a line. Each of t…