分解质因子

1,用质数筛选法确定一定范围内所有质数

2.用质数对该数进行质数分解

#include<vector>
#include <iostream>
#include<cmath>
using namespace std;

vector<int > p;
bool ifPrime[10000];

//质数筛选法
void isPrime()
{
    for (int i = 0; i < 10000; i++)
    {
        ifPrime[i] = true;
    }

    for (int i = 2; i < 10000; i++)
    {
        if (ifPrime[i] )
        {
            p.push_back(i);
            
            for (int j = i * i; j < 10000; j += i)
            {
                ifPrime[j] = false;
            }
        }
    }
    return;
}
//x质因子个数
void coutPrime(int x)
{
    int answer = 0;
    for (int i = 0; i < p.size(); i++)
    {
        int j = p[i];
        if (p[i] > sqrt(x)) break;
        int count = 0;
        while (x % j == 0)
        {
            count++;
            x = x / j;
            cout << j << " *";
        }
        answer += count;
    }
    if (x > 0) { 
        cout << x;
        answer = answer + 1;
    }
    cout << endl <<"质因子个数:"<< answer;

}

int main()
{
    isPrime();
     while (true) {
          int x;
          cin >> x;
          coutPrime(x);
      }
    
}