【数学】Prime-Factor Prime】的更多相关文章

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. Inpu…
1. 问题: The prime factors of 13195 are 5, 7, 13 and 29.What is the largest prime factor of the number 600851475143 ? 2. 解法(by java in Eclipse) package com.lun.alrithmetic; /* * Q1: what's the primary factor? (1 2 3) * Q2: i & i+2ne能否遍历出所有质数 */ public…
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. Inpu…
Largest prime factor Time Limit: 5000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others) Total Submission(s): 6990    Accepted Submission(s): 2471 Problem Description Everybody knows any number can be combined by the prime number. Now…
The prime factors of 13195 are 5, 7, 13 and 29. What is the largest prime factor of the number 600851475143 ? #include<stdio.h> #include<string.h> #include<math.h> #include<ctype.h> #include<stdlib.h> #include<stdbool.h>…
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.   Input…
problem 3:Largest prime factor 题意:求600851475143的最大的质因数 代码如下: #ifndef PRO3_H_INCLUDED #define PRO3_H_INCLUDED #include "prime.h" namespace pro3{ long long solve(){ ;; ;i*i<=n;++i) ){ if(isPrime(n/i))return n/i; else if(isPrime(i))maxn=i; } >…
The prime factors of 13195 are 5, 7, 13 and 29. What is the largest prime factor of the number 600851475143 ? 欧拉题里很多是关于求质数,求质数的方法很多,我推荐的是筛选法,效率高,也很好理解.百度一下就有详细说明. def primeslist(max): a = [True]*(max+1) # 创建一个list,下标的位置就代表数字 a[0],a[1]=False,False # 0…
The prime factors of 13195 are 5, 7, 13 and 29. What is the largest prime factor of the number 600851475143 ? 翻译过后如下: 找出一个合数的最大质数因子 13195的质数因子有5,7,13和29. 600851475143的最大质数因子是多少? 做出答案以后的题解: 对于给定的n, 使factor = 2, 3, 4, 5, 6..., 对于每个factor, 当factor能被n完全整…
/*打表把素数能组合的数先设置成相应的位数*/ /* if n equals two and n is No.1 position of prime factors  so four position of prime factors is no.1,as well*/ /* although two can combined six but three also can combined six */ /* and three position of prime factors is two…
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.  InputEach line will con…
Largest prime factor Time Limit: 5000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 13481    Accepted Submission(s): 4765 Problem Description Everybody knows any number can be combined by the prime number.Now,…
Prime Gift(prime) 题目描述 Jyt有nn个质数,分别为p1,p2,p3-,pnp1,p2,p3-,pn. 她认为一个数xx是优秀的,当且仅当xx的所有质因子都在这nn个质数中. 她想知道第kk大的优秀的数是多少.保证答案不超过10181018. 输入 第一行一个整数nn,表示质数的个数. 第二行nn个升序排列的质数,第ii个数表示pipi. 第三行一个整数kk,表示要求的是第kk大的数. 输出 一行,表示第kk大的优秀的数. 样例输入 <span style="color…
题目: Given any positive integer N, you are supposed to find all of its prime factors, and write them in the format N = p1^k1 * p2^k2 *...*pm^km. 输入描述: Each input file contains one test case which gives a positive integer N in the range of long int. 输出…
先写一遍思路,跟素数表很类似吧. 1)从小到大遍历数据范围内的所有数.把包含质因子的数的位置都设成跟质因子的位置相同. 2)同一个数的位置可能被多次复写.但是由于是从小到大遍历,这就保证了最后一次写入的是该数的最大质因子的位置 一道题墨迹了好久,上代码分析 #include <iostream> #include <stdio.h> #include <math.h> #include <algorithm> #include <string.h>…
Prime-Factor Prime 题目描述 A positive integer is called a "prime-factor prime" when the number of its prime factors is prime. For example, 12 is a prime-factor prime because the number of prime factors of 12=2×2×3 is 3, which is prime. On the other…
Description Everybody in the Prime Land is using a prime base number system. In this system, each positive integer x is represented as follows: Let {pi}i=0,1,2,... denote the increasing sequence of all prime numbers. We know that x > 1 can be represe…
题目梗概:求1000000以内任意数的最大质因数是第几个素数,其中 定义 1为第0个,2为第1个,以此类推. #include<string.h> #include<stdio.h> #include<math.h> ],b[],c[];//b[i]表示i是第几个素数,c[k]表示k的最大素数是c[k],a[i]表示是不是素数 int main() { int n,i,num,j; memset(a,,sizeof(a)); a[]=; b[]=; num=; ;i&l…
#include <iostream> #include <vector> #include <cmath> using namespace std; const int MAX=1000001; bool isPrime[MAX];//isPrime[i]=true表示是素数,false表示不是 int indexes[MAX]; //存放素数因子的序号 void eraosthenes() { fill(isPrime,isPrime+MAX,true);//如果0…
类似于素数打表. #include <cstdio> #include <cstring> #include <algorithm> #define maxn 1000100 using namespace std; int f[maxn]; void inti() { ; ; i<maxn; i++) { ) { num++; for(int j=i; j<maxn; j+=i) { f[j]=num; } } } } int main() { int n…
题目大意:求出比给出数小的互质的质数个数. 题解:直接用筛法求素数,稍微改编一下,将原先的布尔数组变为数组用来记录信息就可以了. 注意点:大的数组定义要放在程序的开头,不要放在main里面,不然会栈溢出. #include <cstdio> #define max 1000000 }; int main() { int n; ; ; i<max; ++i) { if(prim[i]) continue; for(int j=i; j<max; j+=i) prim[j]=cnt;…
题意:给你一个数,让你求它的最大因子在素数表的位置. 析:看起来挺简单的题,可是我却WA了一晚上,后来终于明白了,这个第一层循环不是到平方根, 这个题和判断素数不一样,只要明白了这一点,就很简单了. 代码如下: #include <iostream> #include <cstdio> #include <algorithm> #include <queue> #include <vector> #include <cstring>…
传送门 题意 给出若干个数n(n<=1000000),求每个n的最大质因子的排名. 质数的排名:如果素数p是第k小的素数,那么p的排名就是k. 思路 乍一看不知道怎么搞. 其实可以想想我们怎么筛素数的,每个数都会被它的质因数筛去. 这就和题目一样了. 代码 #include <cstdio> ; ; int main() { int i, j, x; ; i < MAXN; i++) if(!notpri[i]) { for(j = i; j < MAXN; j += i)…
题目描述: 源码: 需要注意,若使用cin,cout输入输出,会超时. #include"iostream" #include"memory.h" #define MAX 1000000 using namespace std; int index[MAX]; int main() { memset(index, -1, sizeof(index)); index[1] = 0; int sum = 0; for(int i = 2; i < MAX; i++…
Codeforces 1178D (思维+数学) 题面 给出正整数n(不一定是质数),构造一个边数为质数的无向连通图(无自环重边),且图的每个节点的度数为质数 分析 我们先构造一个环,每个点的度数都是2.但由于n不一定是质数,我们还需要再加k条边.然后对于\(i \in [1,k]\),我们加边(i,i+n/2).当\(k\leq \frac{n}{2}\)的时候,只会把一些点的度数由2变成3,否则会出现重边问题.假设新图的边数为m,那\(m \in [n,n+\frac{n}{2}]\),如果…
题意翻译 给你一串数列a.对于一个质数p,定义函数f(p)=a数列中能被p整除的数的个数.给出m组询问l,r,询问[l,r]区间内所有素数p的f(p)之和. 题目描述 Recently, the bear started studying data structures and faced the following problem. You are given a sequence of integers x1,x2,...,xn x_{1},x_{2},...,x_{n} x1​,x2​,.…
Prime Test Time Limit: 6000MS   Memory Limit: 65536K Total Submissions: 29046   Accepted: 7342 Case Time Limit: 4000MS Description Given a big integer number, you are required to find out whether it's a prime number. Input The first line contains the…
Description Given a big integer number, you are required to find out whether it's a prime number. Input The first line contains the number of test cases T (1 <= T <= 20 ), then the following T lines each contains an integer number N (2 <= N <…
Description Given a big integer number, you are required to find out whether it's a prime number. Input The first line contains the number of test cases T (1 <= T <= 20 ), then the following T lines each contains an integer number N (2 <= N <…
问题 L: Prime Factors 时间限制: 1 Sec  内存限制: 128 MB [提交][状态][论坛] 题目描写叙述 I'll give you a number , please tell me how many different prime factors in this number. 输入 There is multiple test cases , in each test case there is only one line contains a number N(…