Problem:
GCD and LCM

Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.

Input

Input consists of several data sets. Each data set contains a and b separated by a single space in a line. The input terminates with EOF.

Constraints

0 < a, b ≤ 2,000,000,000

LCM(a, b) ≤ 2,000,000,000

The number of data sets ≤ 50

Output

For each data set, print GCD and LCM separated by a single space in a line.

Sample Input

8 6
50000000 30000000

Output for the Sample Input

2 24
10000000 150000000

Solution in C++ (judge verdict: Wrong Answer)

#include <iostream>
#include <algorithm>
#include <cmath>

using namespace std;

int find_GCD(int a, int b){
  int max = 0;
  for(int i=min(a, b)/2+1;i>0;i--){
    if(a%i==0 && b%i==0){
      max = i;
      break;
    }
  }
  return max;
}

int main(){
  int a, b;
  while(cin >> a >> b){
    //    cout << a << " " << b <<endl;
    //    int GCD = find_GCD(a, b);
    //    cout << GCD << endl;
    //    cout << find_GCD(a, b) << endl;
    int GCD = find_GCD(a, b);
    int LCM = a*b/GCD;
    cout << GCD << " " << LCM << endl;
  }

}