输入两个正整数m和n，求其最大公约数和最小公倍数

public static void main(String[] args){
Scanner sc = new Scanner (System.in);
int a,b;
System.out.println("请输入两个正整数：");
a = sc.nextInt();
b = sc.nextInt();
System.out.println("您输入的数是:" + a +"和"+b);
int age[] = new int[(a+b)/2];
int j = 0;
for (int i=1;i<(a+b)/2;i++){
if(a%i == 0 && b%i == 0){
age[j] = i;
}
}
System.out.println("最大公约数是："+ age[j]);
for(int k = 1;k<100000;k++){
if(k %a ==0 && k%b == 0){
System.out.println("最小公倍数是：" + k);
break;
}
}
}
}