GCD (SPOJ)
CODE:GCD2
EXPLAINATION--
In mathematics, the greatest common divisor (gcd), also known as the greatest common factor (gcf), or highest common factor (hcf), of two or more non-zero integers, is the largest positive integer that divides the numbers without a remainder. For example, the GCD of 8 and 12 is 4.
SOLUTION---
#include
#include
int mod(char str[],int d)
{
int r=0,i;
for(i=0;str[i];i++)
{
r=10*r+(str[i]-'0');
r=r%d;
}
return r;
}
int gcd(int a,int b)
{
if(b==0)
return a;
else
gcd(b,a%b);
}
int main()
{
int t,a;
char str[255];
scanf("%d",&t);
while(t--)
{
scanf("%d",&a);
scanf("%s",str);
if(a==0)
printf("%s\n",str);
else if(str[0]=='0')
printf("%d\n",a);
else
{
printf("%d\n",gcd(a,mod(str,a)));
}
}
return 0;
}
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