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,b,i,x,y;
while(cin>>a>>b){
int max=0,min;
i=1;
x=a;
y=b;
while(i!=0){
i=x%y;
x=y;
y=i;
}
max=x;
min=(a/max)*b;
cout<<max<<" "<<min<<endl;
}
return 0;
}