#include<cstdio>

int main() {
	int a, b,c,A,B;

	while (scanf("%d %d", &a, &b) != EOF) {
		A = a;
		B = b;
		while (b != 0) {
			c = a%b;
			a = b;
			b = c;
		}
		printf("%d %d\n", a, A / a*B);
	}
	return 0;
}

### Prompt

Please create a solution in Cpp 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<cstdio>

int main() {
	int a, b,c,A,B;

	while (scanf("%d %d", &a, &b) != EOF) {
		A = a;
		B = b;
		while (b != 0) {
			c = a%b;
			a = b;
			b = c;
		}
		printf("%d %d\n", a, A / a*B);
	}
	return 0;
}

```