Problem:
GCD and LCM

Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.

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.

Constraints

0 < a, b ≤ 2,000,000,000

LCM(a, b) ≤ 2,000,000,000

The number of data sets ≤ 50

Output

For each data set, print GCD and LCM separated by a single space in a line.

Sample Input

8 6
50000000 30000000

Output for the Sample Input

2 24
10000000 150000000

Solution in C (judge verdict: Time Limit Exceeded)

#include<stdio.h>

int main(){
	int a, b, temp, amari;
	while(scanf("%d %d", &a, &b)){
		temp = a * b;
		amari = a % b;
		while(amari != 0){
			a = b;
			b = amari;
			amari = a % b;
		}
		printf("%d %d\n", b, temp / b);
	}
	return 0;
}