#include <iostream>
#include <algorithm>
using namespace std;

typedef long long lli;

lli gcd(lli a, lli b) { return b == 0 ? a : gcd(b, a%b);}

int main(){
  lli a,b;
  while(cin >> a >> b)
    cout << gcd(a,b) << ' ' << a * b / gcd(a,b) << endl;
}
### Prompt

Please formulate a cpp solution to 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>
#include <algorithm>
using namespace std;

typedef long long lli;

lli gcd(lli a, lli b) { return b == 0 ? a : gcd(b, a%b);}

int main(){
  lli a,b;
  while(cin >> a >> b)
    cout << gcd(a,b) << ' ' << a * b / gcd(a,b) << endl;
}
```