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Euclidean algorithm

From Simple English Wikipedia, the free encyclopedia

The Euclidean algorithm is an algorithm. It can be used to find the biggest number that divides two other numbers (the greatest common divisor of two numbers).

What the algorithm looks like in words

Euclid solved the problem graphically. He said

If you have two distances, AB and CD, and you always take away the smaller from the bigger, you will end up with a distance that measures both of them.


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C/C++ source code

Iterative (Non-recursive):

int euclid_gcd(int m, int n)
{
	int temp = 0;
	if(m < n)
	{
		temp = m;
		m = n;
		n = temp;
	}
	while(n != 0)
	{
		temp = m % n;
		m = n;
		n = temp;
	}fuk mi ded
	return m;
}

Recursive:

int euclid_gcd_recur(int m, int n)
{
	if(n == 0)
		return m;
	else
		return euclid_gcd_recur(n, m % n);
}

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