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Factorization


// Factorization.cpp : Defines the entry point for the console application.
//

#include "stdafx.h"
#include <math.h>
#include <string.h>

bool IsPrime(int num)
{
	if(num<=1)return false;
	if(num==2)return true;
	if(num%2==0)return false;
	/
	for(int j=3;j<=sqrt(num);j+=2)
	{
		if(num%j==0)return false;
	}
	return true;
}

int main(int argc, char* argv[])
{
	printf("Input num n:\n");
	int n;
	scanf("%d",&n);
	getchar();
///
	if(IsPrime(n))
	{
		printf("素数!\n");
		return 0;
	}
	//标记小于n的素数,同时不断除!
	//int a[3000];//假设n<3000
	//memset(a,0,sizeof(a));
	//a[2]=1;
	printf("%d=",n);
	int count=0;
	while(n%2==0)
	{
		n=n/2;
		count++;
	}
	if(count>0)
	{
		printf("%d^%d",2,count);
	}

	for(int j=3;j<=n/2;j+=2)
	{
		if(IsPrime(j))
		{
			count=0;
			while(n%j==0)
			{
				n=n/j;
				count++;
			}
			if(count>0)
			{
				printf("*%d^%d",j,count);
			}
		}//if(IsPrime(j))
			
	}//for(int j=3;j<=n/2;j+=2)
	printf("*%d\n",n);
/

	return 0;
}



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