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 main(){
int a;
int b;
int c;
int d;
int e;
int f;
while(cin>>d>>e){
a=d;
b=e;
while(1){
c=a%b;
a=b;
b=c;
if(b==0){break;}
}
f=d/a*e;
cout << a <<" ";
cout << f <<endl;}}