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>
long gcm(long a,long b){
    if (b==0) return a;
    return gcm(b,a%b);
}
 
int main(void){
    long a,b,x;
    while (std::cin>>a>>b){
        x=gcm(a,b);
        std::cout<<x<<" "<<a/x*b<<"\n";
    }
}