【暴力】POJ-3006 Dirichlet's Theorem on Arithmetic Progressions
来源:互联网 发布:mac pro 贴膜涂层脱落 编辑:程序博客网 时间:2024/05/01 10:03
Description
If a and d are relatively prime positive integers, the arithmetic sequence beginning with a and increasing by d, i.e., a, a + d, a + 2d, a + 3d, a + 4d, ..., contains infinitely many prime numbers. This fact is known as Dirichlet's Theorem on Arithmetic Progressions, which had been conjectured by Johann Carl Friedrich Gauss (1777 - 1855) and was proved by Johann Peter Gustav Lejeune Dirichlet (1805 - 1859) in 1837.
For example, the arithmetic sequence beginning with 2 and increasing by 3, i.e.,
2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, 47, 50, 53, 56, 59, 62, 65, 68, 71, 74, 77, 80, 83, 86, 89, 92, 95, 98, ... ,
contains infinitely many prime numbers
2, 5, 11, 17, 23, 29, 41, 47, 53, 59, 71, 83, 89, ... .
Your mission, should you decide to accept it, is to write a program to find the nth prime number in this arithmetic sequence for given positive integers a, d, and n.
Input
The input is a sequence of datasets. A dataset is a line containing three positive integers a, d, and n separated by a space. a and d are relatively prime. You may assume a<= 9307, d <= 346, and n <= 210.
The end of the input is indicated by a line containing three zeros separated by a space. It is not a dataset.
Output
The output should be composed of as many lines as the number of the input datasets. Each line should contain a single integer and should never contain extra characters.
The output integer corresponding to a dataset a, d, n should be the nth prime number among those contained in the arithmetic sequence beginning with a and increasing byd.
FYI, it is known that the result is always less than 106 (one million) under this input condition.
Sample Input
367 186 151179 10 203271 37 39103 230 127 104 185253 50 851 1 19075 337 210307 24 79331 221 177259 170 40269 58 1020 0 0
Sample Output
928096709120371039352314503289942951074127172269925673
/*ID: j.sure.1PROG:LANG: C++*//****************************************/#include <cstdio>#include <cstdlib>#include <cstring>#include <algorithm>#include <ctime>#include <cmath>#include <stack>#include <queue>#include <vector>#include <map>#include <set>#include <string>#include <climits>#include <iostream>#define LL long longusing namespace std;const int INF = 0x3f3f3f3f;/****************************************/const int N = 1e6;int p[N];bool vis[N];void get_prime(){int cnt = 0;vis[1] = 1;for(int i = 2; i < N; i++) {if(!vis[i]) p[cnt++] = i;for(int j = 0; j < cnt && p[j]*i < N; j++) {vis[p[j]*i] = 1;if(i % p[j] == 0) break;}}}int main(){#ifdef J_Surefreopen("000.in", "r", stdin);freopen("999.out", "w", stdout);#endifget_prime();int a, d, n;while(scanf("%d%d%d", &a, &d, &n), a||d||n) {a -= d;int i = 1;while(i <= n) {a += d;if(!vis[a]) i++;}printf("%d\n", a);}return 0;}
- 【暴力】POJ-3006 Dirichlet's Theorem on Arithmetic Progressions
- POJ 3006 Dirichlet's Theorem on Arithmetic Progressions(素数表)
- poj 3006 Dirichlet's Theorem on Arithmetic Progressions
- POJ 3006 Dirichlet's Theorem on Arithmetic Progressions
- POJ 3006 Dirichlet's Theorem on Arithmetic Progressions 素数
- POJ 3006 Dirichlet's Theorem on Arithmetic Progressions
- poj 3006 Dirichlet's Theorem on Arithmetic Progressions
- POJ 3006 Dirichlet's Theorem on Arithmetic Progressions
- POJ -----3006 Dirichlet's Theorem on Arithmetic Progressions
- POJ 3006 Dirichlet's Theorem on Arithmetic Progressions
- poj 3006 Dirichlet's Theorem on Arithmetic Progressions 【素数筛】
- POJ 3006 Dirichlet's Theorem on Arithmetic Progressions
- POJ 3006 - Dirichlet's Theorem on Arithmetic Progressions
- POJ 3006 Dirichlet's Theorem on Arithmetic Progressions
- Poj 3006 Dirichlet's Theorem on Arithmetic Progressions
- POJ 3006 Dirichlet's Theorem on Arithmetic Progressions
- POJ 3006 Dirichlet's Theorem on Arithmetic Progressions(水~)
- POJ-3006 Dirichlet's Theorem on Arithmetic Progressions
- 《深度探索C++对象模型》第一章关于对象ObjectLessons之读书笔记
- Tian Ji -- The Horse Racing(杭电1052)(贪心)
- onvif学习1-框架介绍
- 【BZOJ】【P1492】【NOI2007】【货币兑换Cash】【题解】【cdq分治】
- onvif学习2-soap介绍以及gsoap使用
- 【暴力】POJ-3006 Dirichlet's Theorem on Arithmetic Progressions
- CKeditor 3.6.6.2 asp.net 使用与配置的整理
- test1
- 使用DBUS (1): 使用 DBU low-level API
- Java HaspMap高效计数器
- nyij168房间安排(贪心)
- 简述Java内存泄露
- 计算两个文件的相对路径
- 面向对象、继承、接口、抽象类