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>
using namespace std;

int main(){
  int a,b,ky,kb,t,k;

  for(int n=0;n<50;n++){
    cin>>a;
    cin>>b;
    t=1;
    for(int i=1;i<2000000;i++){
      if(a%i==0&&b%i==0){
        a=a/i;
        b=b/i;
        t=i*t;
      }
    }
    k=t*a*b;
    cout<<t<<" "<<k;
  }
  return 0;
}