How to resolve the algorithm Greatest common divisor step by step in the MiniZinc programming language

Published on 12 May 2024 09:40 PM
#Minizinc

How to resolve the algorithm Greatest common divisor step by step in the MiniZinc programming language

Table of Contents

Problem Statement

Find the greatest common divisor   (GCD)   of two integers.

Greatest common divisor   is also known as   greatest common factor (gcf)   and   greatest common measure.

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Greatest common divisor step by step in the MiniZinc programming language

Source code in the minizinc programming language

function var int: gcd(int:a2,int:b2) =
  let {
    int:a1 = max(a2,b2);
    int:b1 = min(a2,b2);
    array[0..a1,0..b1] of var int: gcd;
    constraint forall(a in 0..a1)(
      forall(b in 0..b1)(
        gcd[a,b] ==
        if (b == 0) then
          a
        else
          gcd[b, a mod b]
        endif
      )
    )
  } in gcd[a1,b1];  
 
var int: gcd1 = gcd(8,12);
solve satisfy;
output [show(gcd1),"\n"];

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