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authorJorawar Singh2017-06-30 11:54:22 +0530
committerJorawar Singh2017-06-30 11:54:22 +0530
commit4c6f1a8cced5610ab5075ea61c507c1dbc25f520 (patch)
tree798ae26a88891509424f8ade489b87cbf2af2093 /2.3-1/src/c/elementaryFunctions/discrete_mathematics/lcm
parent815306982a4ea8eaaa2106fadcd1472aa2a9dcd5 (diff)
parentf805bc9553b3d88d7c9e7dbf59486c5da490231e (diff)
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+/* Copyright (C) 2017 - IIT Bombay - FOSSEE
+
+ This file must be used under the terms of the CeCILL.
+ This source file is licensed as described in the file COPYING, which
+ you should have received as part of this distribution. The terms
+ are also available at
+ http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ Author: Ankit Raj
+ Organization: FOSSEE, IIT Bombay
+ Email: toolbox@scilab.in
+*/
+#include<stdio.h>
+/* This is the "lcm" function, accepting two inputs which are the array of integers
+ and second the size of the array. The algorithm works like this:
+ We take a temproary variable and store the lcm of the first two elements of the
+ array in it. Now using this temproary variable we recursively fin the lcm of
+ the whole array.
+ Now to fin the lcm of two elements we fin the maximum of the two elements and
+ check whether it is divisible by both the elements, if the condition is true we
+ get the lcm, else increase the maximum value by itself unless we get the lcm.
+*/
+#include "lcm.h"
+uint8 u8lcma(uint8* in,int size)
+{
+ long long int lcm_temp;
+ if(size==1)
+ {
+ lcm_temp=*in;
+ }
+ else
+ {
+
+ int x1=*in;
+ int x2=*(in+1);
+ long long int max=(x1>x2)?x1:x2;
+ long long int i=max;
+ while(1)
+ {
+ if(i%x1==0 && i%x2==0)
+ {
+ lcm_temp=i;
+ break;
+ }
+ else
+ i+=max;
+ }
+ for(int j=2;j<size;j++)
+ {
+ x1=lcm_temp;
+ x2=*(in+j);
+ max=(x1>x2)?x1:x2;
+ i=max;
+ while(1)
+ {
+ if(i%x1==0 && i%x2==0)
+ {
+ lcm_temp=i;
+ break;
+ }
+ else
+ i+=max;
+ }
+ }
+
+ }
+ return lcm_temp;
+}
+