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

What is assertions, What is Assertions Introduction At every point...

What is Assertions Introduction At every point in a program, there are generally constraints on the computational state that should hold for program to be correct. For ins

What are the dynamic arrays, What are the Dynamic arrays Dynamic arrays...

What are the Dynamic arrays Dynamic arrays are convenient for programmers since they can never be too small-whenever more space is needed in a dynamic array, it can simply be e

Worst case and average case, Worst Case: For running time, Worst case runn...

Worst Case: For running time, Worst case running time is an upper bound with any input. This guarantees that, irrespective of the type of input, the algorithm will not take any lo

C++ function, Write c++ function to traverse the threaded binary tree in in...

Write c++ function to traverse the threaded binary tree in inorder traversal

Merging 4 sorted files containing 50, Merging 4 sorted files having 50, 10,...

Merging 4 sorted files having 50, 10, 25 and 15 records will take time  O (100)

A binary tree of depth "d" is an almost complete binary tree, A binary tree...

A binary tree of depth "d" is an almost complete binary tree if  A) Every leaf in the tree is either at level "d" or at level "d-1"  B)  For any node "n" in the tree with a

B-tree of degree 3, Q. Explain the result of inserting the keys given. ...

Q. Explain the result of inserting the keys given. F, S, Q, K, C, L, H, T, V, W, M, R, N, P, A, B, X, Y, D, Z, E  in an order to an empty B-tree of degree-3.

The data structure required to evaluate a postfix expression, The data stru...

The data structure needed to evaluate a postfix expression is  Stack

Write an algorithm to illustrate this repeated calculation, The below formu...

The below formula is used to calculate n: n = (x * x)/ (1 - x). Value x = 0 is used to stop the algorithm. Calculation is repeated using values of x until value x = 0 is input. The

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