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

Definitions of graph, A graph G might be defined as a finite set V of verti...

A graph G might be defined as a finite set V of vertices & a set E of edges (pair of connected vertices). The notation utilized is as follows: Graph G = (V, E) Consider the g

A tree having ''m'' nodes has (m-1) branches. prove., Q. Prove the hypothes...

Q. Prove the hypothesis that "A tree having 'm' nodes has exactly (m-1) branches".      Ans: A tree having m number of nodes has exactly (m-1) branches Proof: A root

Indexed sequential file organisation, When there is requirement to access r...

When there is requirement to access records sequentially by some key value and also to access records directly by the similar key value, the collection of records may be organized

Explain about the abstract data type, Explain about the Abstract data type ...

Explain about the Abstract data type Abstract data type (ADT) A set of values (the carrier set) and operations on those values

Elaborate the symbols of abstract data type, Elaborate the symbols of abstr...

Elaborate the symbols of abstract data type length(a)-returns the number of characters in symbol a. capitalize(a)-returns the symbol generated from a by making its first cha

Hash function, Q. Define the graph, adjacency matrix, adjacency list, hash ...

Q. Define the graph, adjacency matrix, adjacency list, hash function, adjacency matrix, sparse matrix, reachability matrix.

Program of implementation of stack using arrays, include int choice, st...

include int choice, stack[10], top, element; void menu(); void push(); void pop(); void showelements(); void main() { choice=element=1; top=0; menu()

The quick sort algorithm exploit design technique, The quick sort algorithm...

The quick sort algorithm exploit design technique Divide and Conquer

System defined data types, System defined data types:- These are data t...

System defined data types:- These are data types that have been defined by the compiler of any program. The C language contains 4 basic data types:- Int, float,  char and doubl

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd