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

Constraints

* 0 < a, b ≤ 2,000,000,000
* LCM(a, b) ≤ 2,000,000,000
* The number of data sets ≤ 50

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.

Output

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

Example

Input

8 6
50000000 30000000


Output

2 24
10000000 150000000
#include <iostream>
#include <cstdio>
using namespace std;

int gcb(int x, int y)
{
  if(y == 0)return x;
  return gcb(y, x % y);
}

int main()
{
  int a, b;
  while(cin >> a >> b){
    cout << gcb(a, b) << " " << a / gcb(a, b) * b<< endl;    
  }
}