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;
typedef long long int ll;
  
ll gcd(int a, int b) {
    if(b==0) return a;
    return gcd(b,a%b);
}
  
int main() {
ll a,b;
while(cin >> a >> b) cout << gcd(a,b) << " " << a * b / gcd(a,b) << endl;
return 0;
}