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01gcd.cpp
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01gcd.cpp
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#include <iostream>
#include <time.h>
using namespace std;
long int middle_school(long int m, long int n)
{
long int i, gcd;
clock_t start, end;
start = clock();
for (i = 1; i <= m && i <= n; ++i)
{
if (m % i == 0 && n % i == 0)
gcd = i;
}
end = clock();
cout << endl << "Time taken: " << double(end - start)/CLOCKS_PER_SEC << endl << "GCD: ";
return gcd;
}
long int euclid(long int m, long int n)
{
clock_t start, end;
start = clock();
long int r;
while (n != 0)
{
r = m % n;
m = n;
n = r;
}
end = clock();
cout << endl << "Time taken: " << double(end - start)/CLOCKS_PER_SEC << endl << "GCD: ";
return m;
}
long int sub(long int m, long int n)
{
clock_t start, end;
start = clock();
m = (m < 0) ? -m : m;
n = (n < 0) ? -n : n;
while (m != n)
{
if (m > n)
{
m = m - n;
}
else
{
n = n - m;
}
}
end = clock();
cout << endl << "Time taken: " << double(end - start)/CLOCKS_PER_SEC << endl << "GCD: ";
return m;
}
int main()
{
long int x, y;
cout << "Enter two numbers: ";
cin >> x >> y;
cout << "GCD-Middle School: " << middle_school(x, y) << endl;
cout << "GCD-Euclid: " << euclid(x, y) << endl;
cout << "GCD-Subtraction: " << sub(x, y) << endl;
return 0;
}