programming-examples/c++/Numerical_Problems/C++ Program to Implement Fermat’s Little Theorem.cpp

49 lines
969 B
C++
Raw Normal View History

2019-11-18 14:44:36 +01:00
/*
* C++ Program to Implement Fermat's Little Theorem
*/
#include <iostream>
using namespace std;
/* calculates (a^b)%MOD */
int pow(int a, int b, int MOD)
{
int x = 1, y = a;
while (b > 0)
{
if (b % 2 == 1)
{
x = (x * y);
if (x > MOD)
x %= MOD;
}
y = (y * y);
if (y > MOD)
y %= MOD;
b /= 2;
}
return x;
}
int modInverse(int a, int m)
{
return pow(a, m - 2, m);
}
//Main
int main()
{
int a, m;
cout<<"Enter number to find modular multiplicative inverse: ";
cin>>a;
cout<<"Enter Modular Value: ";
cin>>m;
cout<<modInverse(a, m)<<endl;
}
/*
Enter number to find modular multiplicative inverse: 1111
Enter Modular Value: 331
216
------------------
(program exited with code: 1)
Press return to continue