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>
using namespace std;

int gcm(int a, int b) {
  if (b==0) return a;
  return gcm(b, a%b);
}

int main() {
  int x,y;
  while(cin >> x >> y) {
    int a = gcm(x,y);
    cout << a << " " << x/a*y << endl;
  }
}