#include<iostream>
using namespace std;
int gcd(int p,int q){
  int s;
  while(q){
    p%=q;
    s=p;
    p=q;
    q=s;
  }
  return p;
}
int main(){
  int g,p,q;
  while(cin>>p>>q){
    g=gcd(p,q);
    cout<<g<<" "<<p/g*q<<endl;
  }
  return 0;
}
### Prompt

In CPP, your task is to solve the following problem:

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

### Response

```cpp
#include<iostream>
using namespace std;
int gcd(int p,int q){
  int s;
  while(q){
    p%=q;
    s=p;
    p=q;
    q=s;
  }
  return p;
}
int main(){
  int g,p,q;
  while(cin>>p>>q){
    g=gcd(p,q);
    cout<<g<<" "<<p/g*q<<endl;
  }
  return 0;
}
```