题意 给出\(n\)和\(m\),将\(n\)拆成任意个数,求它们的最大的\(lcm\) 分析 1.可以证明\(n=p1^{s1}*p2^{s2}*...*pn^{sn}\)时\(lcm\)最大(其中\(p1,p2...pn\)皆为素数) 证明 2.那么就可以转化为完全背包,模仿公式 \(f[i][v]=max{f[i-1][v-k*c[i]]+k*w[i]|0<=k*c[i]<=v}\) 状态转移方程为\(dp[j]=max(dp[j],dp[j-p]*p)\); 用log代替真实值 \(d…
作为一个oier,以及大学acm党背包是必不可少的一部分.好久没做背包类动规了.久违地练习下-.- dd__engi的背包九讲:http://love-oriented.com/pack/ 鸣谢http://blog.csdn.net/eagle_or_snail/article/details/50987044,这里有大部分比较有趣的dp练手题. hud 2602 01背包板子题 #include<cstdio> #include<iostream> #include<cs…
题目链接: http://acm.hdu.edu.cn/showproblem.php?pid=3092 Least common multiple Time Limit: 2000/1000 MS (Java/Others)Memory Limit: 65536/65536 K (Java/Others) 问题描述 Partychen like to do mathematical problems. One day, when he was doing on a least common m…
http://lightoj.com/volume_showproblem.php?problem=1236 Pairs Forming LCM Time Limit:2000MS     Memory Limit:32768KB     64bit IO Format:%lld & %llu Submit Status Practice LightOJ 1236 Description Find the result of the following code: long long pairs…
Description Partychen like to do mathematical problems. One day, when he was doing on a least common multiple(LCM) problem, he suddenly thought of a very interesting question: if given a number of S, and we divided S into some numbers , then what is…
Time Limit:1000MS     Memory Limit:32768KB     64bit IO Format:%I64d & %I64u Submit Status Description The least common multiple (LCM) of a set of positive integers is the smallest positive integer which is divisible by all the numbers in the set. Fo…
http://lightoj.com/volume_showproblem.php?problem=1341 题目大意: 给你矩形的面积(矩形的边长都是正整数),让你求最小的边大于等于b的矩形的个数. 什么叫唯一分解定理:算术基本定理可表述为:任何一个大于1的自然数 N,如果N不为质数,那么N可以唯一分解成有限个质数的乘积N=P1a1P2a2P3a3......Pnan,这里P1<P2<P3......<Pn均为质数,其中指数ai是正整数.这样的分解称为 N 的标准分解式 我们求出n的因…
Problem Introduction The least common multiple of two positive integers \(a\) and \(b\) is the least positive integer \(m\) that is divisible by both \(a\) and \(b\). Problem Description Task.Given two integers \(a\) and \(b\), find their least commo…
D. Soldier and Number Game time limit per test3 seconds memory limit per test256 megabytes inputstandard input outputstandard output Two soldiers are playing a game. At the beginning first of them chooses a positive integer n and gives it to the seco…
Problem Description The least common multiple (LCM) of a set of positive integers is the smallest positive integer which is divisible by all the numbers in the set. For example, the LCM of 5, 7 and 15 is 105.   Input Input will consist of multiple pr…
题目 简单的计算A,B之间有多少个素数 只是测试数据有是负的 //AC //A和B之间有多少个素数 //数据可能有负的!!! #include<string.h> #include<stdio.h> //素数筛选法 +];//1 合数, 0 素数 void Prime() { memset(pri,,sizeof(pri)); pri[]=pri[]=; ;i<;i++) { ) ;j=j+i) pri[j]=; } } int main() { int a,b; Prime…
题意:给出一个区间[L,U],找出区间里相邻的距离最近的两个素数和距离最远的两个素数. 用素数筛选法.所有小于U的数,如果是合数,必定是某个因子(2到sqrt(U)间的素数)的倍数.由于sqrt(U)最大也只有2^16,所以我们可以用素数筛选法,先预处理出2~2^16之间的素数,然后再用这些素数筛选出L~U之间的素数.接着就好办了. 有几个要注意的是:1:L为1的情况,可以通过令L=2或者标记isp[0]=false.2:建议用long long,否则很容易在过程中超int范围,导致数组越界RE…
Sieve of Eratosthenes (素数筛选算法) Given a number n, print all primes smaller than or equal to n. It is also given that n is a small number. For example, if n is 10, the output should be “2, 3, 5, 7″. If n is 20, the output should be “2, 3, 5, 7, 11, 13,…
http://lightoj.com/volume_showproblem.php?problem=1259 题目大意:给你一个数n,这个数能分成两个素数a.b,n = a + b且a<=b,问有几组这样的(a,b) 比较简单的哥德巴赫猜想题,不需要多说,但一般的素数判定会TLE,所以这里用的是素数筛选法 这里需要注意的是筛选出来素数数组的大小 #include<stdio.h> #include<math.h> #include<string.h> #inclu…
http://lightoj.com/volume_showproblem.php?problem=1341 Aladdin and the Flying Carpet Time Limit:3000MS     Memory Limit:32768KB     64bit IO Format:%lld & %llu Submit Status Practice LightOJ 1341 Description It's said that Aladdin had to solve seven…
Lowest Common Multiple Plus Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 30907    Accepted Submission(s): 12528 Problem Description 求n个数的最小公倍数.   Input 输入包含多个测试实例,每个测试实例的开始是一个正整数n,然后是n个正整数.  …
http://poj.org/problem?id=2262 Goldbach's Conjecture Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 34323   Accepted: 13169 Description In 1742, Christian Goldbach, a German amateur mathematician, sent a letter to Leonhard Euler in whic…
Lowest Common Multiple Plus Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 34980    Accepted Submission(s): 14272 Problem Description 求n个数的最小公倍数.   Input 输入包含多个测试实例,每个测试实例的开始是一个正整数n,然后是n个正整数.  …
题目地址:http://ac.jobdu.com/problem.php?pid=1056 题目描述: 输入两个正整数,求其最大公约数. 输入: 测试数据有多组,每组输入两个正整数. 输出: 对于每组输入,请输出其最大公约数. 样例输入: 49 14 样例输出: 7 来源: 2011年哈尔滨工业大学计算机研究生机试真题 #include <stdio.h> int gcd1 (int a, int b){ if (b == 0) return a; else return gcd1 (b, a…
http://acm.hdu.edu.cn/showproblem.php?pid=1019 Least Common Multiple Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others) Total Submission(s): 25035    Accepted Submission(s): 9429 Problem Description The least common m…
地址:http://www.codewars.com/kata/5259acb16021e9d8a60010af/train/python 题目: Write a function that calculates the least common multiple of its arguments; each argument is assumed to be a non-negative integer. 代码: def lcm2(a,b): m = max(a,b) n = min(a,b)…
Problem Description The least common multiple (LCM) of a set of positive integers is the smallest positive integer which is divisible by all the numbers in the set. For example, the LCM of 5, 7 and 15 is 105.   Input Input will consist of multiple pr…
Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 9519   Accepted: 5458 Description The ministers of the cabinet were quite upset by the message from the Chief of Security stating that they would all have to change the four-digit room numb…
Problem Description The least common multiple (LCM) of a set of positive integers is the smallest positive integer which is divisible by all the numbers in the set. For example, the LCM of 5, 7 and 15 is 105. Input Input will consist of multiple prob…
Problem Description Everybody knows any number can be combined by the prime number. Now, your task is telling me what position of the largest prime factor. The position of prime 2 is 1, prime 3 is 2, and prime 5 is 3, etc. Specially, LPF(1) = 0.   In…
题目链接:http://poj.org/problem?id=2689 题意:给出一个区间[L, R],找出区间内相连的,距离最近和距离最远的两个素数对.其中(1<=L<R<=2,147,483,647) R - L <= 1000000 思路:数据量太大不能直接筛选,要采用两次素数筛选来解决.我们先筛选出2 - 50000内的所有素数,对于上述范围内的数,如果为合数,则必定有2 - 50000内的质因子.换一句话说,也就是如果一个数没有2 - 50000内的质因子,那么这个数为素…
Lowest Common Multiple Plus Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others) Total Submission(s): 33474 Accepted Submission(s): 13683 Problem Description 求n个数的最小公倍数. Input 输入包含多个测试实例,每个测试实例的开始是一个正整数n,然后是n个正整数. Output 为…
***************************************转载请注明出处:http://blog.csdn.net/lttree*************************************** Least Common Multiple Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others) Total Submission(s): 28975    …
Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 51959    Accepted Submission(s): 19706   Problem Description The least common multiple (LCM) of a set of positive integers is the smallest positiv…
废话不多说,先上题目. 51nod Codeforces 两个其实是一个意思,看51nod题目就讲的很清楚了,题意不再赘述. 直接讲我的分析过程:刚开始拿到手有点蒙蔽,看起来很难,然后......然后我就开始一顿胡蒙,各种举例子.找规律下面为我取n = 10的过程. 1.首先1肯定不用取.因为它太特殊了,如果 取它的话,只能判断是不是1,因为所有数都是1的倍数:反之其他所有情况排除了就选它,不用浪费次数来取它. 2.素数肯定是要取的.因为......因为这题一看就是考素数的题. 3.以10为例,…