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 n,m,a,b,i,N,M;
while(cin>>n>>m){
a=1;
for(i=2;;i++){
N=n%i;
M=m%i;
if(N==0&&M==0){n/=i; m/=i; a*=i; i--;}
if(n<i||m<i)break;}
b=n*m*a;
cout<<a<<" "<<b<<endl;}}