C Exercise Examples 33 - primes (prime) judgment
100 cases of classic C language
Title: determine whether a number is prime.
Program analysis: prime (prime number), also known as primes, there are an infinite number.A natural number greater than 1, except 1 and itself, the other can not be a natural number divisible by.
Source Code:
// Created by www.w3big.com on 15/11/9. // Copyright © 2015年 本教程. All rights reserved. // #include<stdio.h> #include<math.h> #define MAX 1000 int prime[MAX]; int isPrimeNaive(int n) { if(n <= 1) return 0; for(int i = 2; i < n; i++) if(n % i == 0) return 0; return 1; } int isPrime(int n) { if(n<= 1) return 0; if(n == 2) return 1; if(n%2 == 0) return 0; int limit = (int)sqrt((double)n); for(int i = 3; i <= limit; i=i+2) { if(n % i == 0) return 0; } return 1; } void sieve() { prime[0] = 0; prime[1] = 0; for(int i = 2; i < MAX; i++) prime[i] = 1; int limit = (int)sqrt((double)MAX); for(int i = 2; i <= limit; i++) { if(prime[i]) for(int j = i*i; j <= MAX; j+=i) prime[j] = 0; } } int isPrimeSieve(int n) { if(prime[n]) return 1; else return 0; } int main() { sieve(); printf("N=%d %d\n", 1, isPrime(1)); printf("N=%d %d\n", 2, isPrime(2)); printf("N=%d %d\n", 3, isPrime(3)); printf("N=%d %d\n", 4, isPrime(4)); printf("N=%d %d\n", 7, isPrime(7)); printf("N=%d %d\n", 9, isPrime(9)); printf("N=%d %d\n", 13, isPrime(13)); printf("N=%d %d\n", 17, isPrime(17)); printf("N=%d %d\n", 100, isPrime(100)); printf("N=%d %d\n", 23, isPrime(23)); printf("N=%d %d\n", 1, isPrime(1)); return 0; }
Examples of the above output is (the end of the number 1 indicates the quality of 0 indicates not the quality):
N=1 0 N=2 1 N=3 1 N=4 0 N=7 1 N=9 0 N=13 1 N=17 1 N=100 0 N=23 1 N=1 0