General Prime number playing table + efficient algorithm

Source: Internet
Author: User

In recent days, the brain more and more stupid, a simple prime circle problem tangled day, did not understand the idea of backtracking, but involving the prime words, suddenly want to summarize the commonly used prime number to hit the table,

In general, the following code is used:

#include <math.h>//primes # include <stdio.h> #include <string.h> #include <algorithm> #include <iostream>using namespace std; #define MAXN 1000000bool P1[MAXN];   Determine if I in p[i] is a prime number int P2[MAXN];   Storage prime number void Prim_num () {    int i,j,n;    for (I=1; i<=maxn; i++)        p1[i]=true;    n= (int) sqrt (MAXN);    for (i=2; i<=n; i++)    {        for (j=i+i; j<=maxn; j+=i)   //prime is not a prime number, which is to determine which numbers are not primes        {            p1[j]= false;        }    }    J=1;    for (I=1; i<=maxn; i++)  //The prime number is stored in pmaxn[n], the following table starts from 1    {        if (P1[i])        {            p2[j++]=i;        }}    } int main () {    int i;    Prim_num ();    for (i=1;i<=100;i++)//outputs the first 100 primes    {        printf ("%d", P2[i]);    }    return 0;}
From the Internet to find another way of writing, efficiency significantly improved a lot, linear sieve method, is still in the deep ...

The code is as follows:

/* Number of prime numbers to be estimated when encountering primes: num = N/lnx;num is approximate, and the larger the error is the smaller (only estimates are used to estimate the array size of prime tables) Linear Sieve method wwwww*/#include <iostream> #include <cstring> #include <cstdio> #include <cmath> #include <algorithm>using namespace std; #define    MAXN 10010000int n;bool visit[maxn];int prime[maxn];void isprime () {memset (visit, True, sizeof (visit));    int num = 0;            for (int i = 2; I <= n; ++i) {if (visit[i] = = true) {num++;        Prime[num] = i; } for (int j = 1;  ((J <= num) && (i * prime[j] <= n));            ++J) {Visit[i * Prime[j]] = false; if (i% prime[j] = = 0) break;        Dig into the place!    }}}int Main () {memset (prime, 0, sizeof (prime));    int count= 0;    scanf ("%d", &n);    IsPrime ();            for (int i = 0; I <= n; ++i) if (Prime[i]) {printf ("%d", prime[i]);        count++;    } printf ("\ n");    printf ("The sum of prime num is:%d\n", count); return 0;}
In the future to use the prime number, the direct copy, convenient many

General Prime number playing table + efficient algorithm

Contact Us

The content source of this page is from Internet, which doesn't represent Alibaba Cloud's opinion; products and services mentioned on that page don't have any relationship with Alibaba Cloud. If the content of the page makes you feel confusing, please write us an email, we will handle the problem within 5 days after receiving your email.

If you find any instances of plagiarism from the community, please send an email to: info-contact@alibabacloud.com and provide relevant evidence. A staff member will contact you within 5 working days.

A Free Trial That Lets You Build Big!

Start building with 50+ products and up to 12 months usage for Elastic Compute Service

  • Sales Support

    1 on 1 presale consultation

  • After-Sales Support

    24/7 Technical Support 6 Free Tickets per Quarter Faster Response

  • Alibaba Cloud offers highly flexible support services tailored to meet your exact needs.