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 gcd(int a, int b) {
return a % b ? gcd(b, a % b) : b;
}
int lcm(int a, int b) {
return a / gcd(a,b) * b;
}
 
int main() {
int a, b;
while(cin >> a >> b) {
cout << gcd(a,b) << " " << lcm(a,b) << endl;
}
}