Determine the greatest common divisor, Data Structure & Algorithms

Assignment Help:

Determine the greatest common divisor (GCD) of two integers, m & n. The algorithm for GCD might be defined as follows:

While m is greater than zero:

If n is greater than m, swap m and n.

Subtract n from m.

n is the GCD

Code in C

int gcd(int m, int n)

/* The precondition are following: m>0 & n>0. Let g = gcd(m,n). */

{

while( m > 0 )

{

if( n > m )

{ int t = m; m = n; n = t; } /* swap m & n*/

/* m >= n > 0 */

m - = n;

}

return n;

}

Related Discussions:- Determine the greatest common divisor

Create algorithm for similarities between documents, Here is a diagram show...

Here is a diagram showing similarities between documents; this is an actual set of physics lab assignments from a large university. Each node (square) in the graph is a doc

What is a height balanced tree, What is a height balanced tree? Height Ba...

What is a height balanced tree? Height Balanced Tree (AVL Tree) An AVL tree is a binary search tree in which the height of the left and right subtree of the root vary by at most

Breadth first search, While BFS is applied, the vertices of the graph are d...

While BFS is applied, the vertices of the graph are divided into two categories. The vertices, that are visited as part of the search & those vertices that are not visited as part

Define strictly binary tree, Define Strictly Binary Tree Strictly Bina...

Define Strictly Binary Tree Strictly Binary Tree: - If each non leaf node in binary tree has non empty left and right sub-trees , then the tree is known as a strictly binary t

Inorder and preorder traversal to reconstruct a binary tree, Q. Using the f...

Q. Using the following given inorder and preorder traversal reconstruct a binary tree Inorder sequence is D, G, B, H, E, A, F, I, C

Algorithm for finding a key by binary search technique, Q. Write down an al...

Q. Write down an algorithm for finding a key from a sorted list using the binary search technique or method.

All pairs shortest paths, N = number of rows of the graph D[i[j] = C[i][...

N = number of rows of the graph D[i[j] = C[i][j] For k from 1 to n Do for i = 1 to n Do for j = 1 to n D[i[j]= minimum( d ij (k-1) ,d ik (k-1) +d kj (k-1)

Total impedent of the circuit, an electrical student designed a circuit in...

an electrical student designed a circuit in which the impedence in one part of a series circuit is 2+j8 ohms and the impedent is another part of the circuit is 4-j60 ohm mm program

Traversing a graph, two standards ways of traversing a graph in data struc...

two standards ways of traversing a graph in data structure

A linear list of elements in which deletion can be done, A linear list of e...

A linear list of elements in which deletion can be done from one end (front) and insertion can take place only at the other end (rear) is called as a Queue.

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages