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

Binary search, Write the algorithm for Binary search. Also apply this algo...

Write the algorithm for Binary search. Also apply this algorithm on the following data. 22, 44, 11, 88, 33, 55, 77, 66

State the range of operation of abstract data type, State the range of oper...

State the range of operation of ADT Operations of the Range of T ADT includes following, where a, b ∈ T and r and s are values of Range of T: a...b-returns a range value (an

High-level and bubble algorithm , 1. Give both a high-level algorithm and a...

1. Give both a high-level algorithm and an implementation (\bubble diagram") of a Turing machine for the language in Exercise 3.8 (b) on page 160. Use the ' notation to show the co

Array, how to define the size of array

how to define the size of array

Binary search tree bst, Describe Binary Search Tree (BST)? Make a BST for t...

Describe Binary Search Tree (BST)? Make a BST for the given sequence of numbers. 45, 36, 76, 23, 89, 115, 98, 39, 41, 56, 69, 48 Traverse the obtained tree in Preorder, Inord

Adjacency matrix of an undirected graph, 1) What will call a graph that hav...

1) What will call a graph that have no cycle? 2) Adjacency matrix of an undirected graph is------------- on main diagonal. 3) Represent the following graphs by adjacency matr

Program, What is a first-in-first-out data structure ? Write algorithms to...

What is a first-in-first-out data structure ? Write algorithms to perform the following operations on it – create, insertion, deletion, for testing overflow and empty conditions.

Define midsquare method, Midsquare Method :- this operates in 2 steps. In t...

Midsquare Method :- this operates in 2 steps. In the first step the square of the key value K is taken. In the 2nd step, the hash value is obtained by deleting digits from ends of

Write a function that performs integer division, Write a function that perf...

Write a function that performs integer division. The function should take the large number in memory location 1 and divide it by the large number in memory location 2 disregarding

Binary tree, A binary tree is a tree data structures in which each node hav...

A binary tree is a tree data structures in which each node have at most two child nodes, generally distinguished as "right" and "left". Nodes with children are called parent nodes,

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