Fermat’s Little Theorem in C++

This C++ Program demonstrates the implementation of Fermat’s Little Theorem. For the modular multiplicative inverse to exist, the number and modular must be coprime.

Here is source code of the C++ Program to implement Fermat’s Little Theorem. The C++ program is successfully compiled and run on a Linux system. The program output is also shown below.

```
/*
```

 * C++ Program to Implement Fermat's Little Theorem

```
 */
```
```
#include <iostream>
```
```
using namespace std;
```
```
 
```
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/* calculates (a^b)%MOD */
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int pow(int a, int b, int MOD) 
```
```
{
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    int x = 1, y = a;
```
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    while (b > 0) 
```
```
    {
```
```
        if (b % 2 == 1) 
```
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        {
```
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            x = (x * y);
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            if (x > MOD) 
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                x %= MOD;
```
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        }
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        y = (y * y);
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        if (y > MOD) 
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            y %= MOD;
```
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        b /= 2;
```
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    }
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    return x;
```
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}
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```
 
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int modInverse(int a, int m) 
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{
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    return pow(a, m - 2, m);
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}
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//Main
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int main()
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{
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    int a, m;
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    cout<<"Enter number to find modular multiplicative inverse: ";

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    cin>>a;
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    cout<<"Enter Modular Value: ";
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    cin>>m;
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    cout<<modInverse(a, m)<<endl;
```
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}
```

$ g++ fermat_little.cpp
$ a.out
 
Enter number to find modular multiplicative inverse: 1111
Enter Modular Value: 331
216
 
------------------
(program exited with code: 1)
Press return to continue

Sanfoundry Global Education & Learning Series – 1000 C++ Programs.

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