From 47b4ac8182cb8646df679836cf63d44a9b2ff3aa Mon Sep 17 00:00:00 2001 From: anujparwal Date: Wed, 22 Oct 2025 15:31:56 +0530 Subject: [PATCH 1/2] Added LCM finder --- CPP/Basics/LCM_finder.cpp | 41 +++++++++++++++++++++++++++++++++++++++ 1 file changed, 41 insertions(+) create mode 100644 CPP/Basics/LCM_finder.cpp diff --git a/CPP/Basics/LCM_finder.cpp b/CPP/Basics/LCM_finder.cpp new file mode 100644 index 0000000..d346113 --- /dev/null +++ b/CPP/Basics/LCM_finder.cpp @@ -0,0 +1,41 @@ +//C++ program to find the LCM using the HCF of the numbers +//This algorithm finds LCM of two numbers in logarithmic time complexity +#include +using namespace std; +// Function to compute the HCF, to further use in finding the LCM + +int Find_LCM(int a, int b){ + //Using the formula lcm=a*b/hcf(a,b), + return a*b/Find_HCF(a,b); +} +int Find_HCF(int a, int b){ + while(a>0 && b>0){ + // If a > b then a%b + if(a>b){ + a = a%b; + } + // Else b%a + else{ + b = b%a; + } + } + // When the loop exhausts, the non zero number will be the HCF + if(a==0){ + return b; + } + else{ + return a; + } +} + +int main(){ + // Input two numbers + int a,b; + cin >> a >> b; + // Calling Find_LCM function to find the LCM, + cout << Find_LCM(a,b) ; +} + + +//Time Complexity = O(log(min(a,b))) +//Space Complexity = O(1) From 347bed1152ca6970ecb26da4738a8f0252463812 Mon Sep 17 00:00:00 2001 From: anujparwal Date: Thu, 23 Oct 2025 00:12:28 +0530 Subject: [PATCH 2/2] Added LCM finder --- CPP/Basics/LCM_finder.cpp | 8 ++++---- a.exe | Bin 0 -> 46877 bytes 2 files changed, 4 insertions(+), 4 deletions(-) create mode 100644 a.exe diff --git a/CPP/Basics/LCM_finder.cpp b/CPP/Basics/LCM_finder.cpp index d346113..fc962db 100644 --- a/CPP/Basics/LCM_finder.cpp +++ b/CPP/Basics/LCM_finder.cpp @@ -4,10 +4,6 @@ using namespace std; // Function to compute the HCF, to further use in finding the LCM -int Find_LCM(int a, int b){ - //Using the formula lcm=a*b/hcf(a,b), - return a*b/Find_HCF(a,b); -} int Find_HCF(int a, int b){ while(a>0 && b>0){ // If a > b then a%b @@ -27,6 +23,10 @@ int Find_HCF(int a, int b){ return a; } } +int Find_LCM(int a, int b){ + //Using the formula lcm=a*b/hcf(a,b), + return a*b/Find_HCF(a,b); +} int main(){ // Input two numbers diff --git a/a.exe b/a.exe new file mode 100644 index 0000000000000000000000000000000000000000..24123c8ade5de68666d863b29f28508ab74df52e GIT binary patch literal 46877 zcmeIb3w%`7xi`G#5;BmGNgyaH>Og~nLP#J%ut77KOfHg}xo}Z%lgoreb2GDti;4s% zvFwiV&>s8NzK4F5Vted49&1lIk*c+UU;>I7kX9++OqlIOaJLWa>BLG zC$K#eUz@qtRP@@+%7#X-qpiJleS3AYqqe%GrB!y+cpUA%7Dr=?Be%4|(cD_+Nu4}- zQi{sD%*|MlX)^QAKHtDLFt*an*hv;^iZhvKuv8EgVJB<~j)~Z_vC|(q2TpREu+x!m ziMYbW$R~{J#h63TQU=O{O+AQ<4v@!+)Bnm}>l2JkA0wl@jj=Drz%?jU_H2@I5uArV zBoOHuRs!eP*0Hj6sdd$IHO^-ckc}NWvxV3rwrrNxo7yf2cT#1RVJBW05kxozUG@SM ztDFR29rk$aORz_5M3-9Q^%6ufvNrk?y>(EzjiOv`!w%5cu;&_SxqPnjNM5y(w(1XzGA`xY#;v1C~{4&HUkVsNl`9fnu~xhdQ;2dpV^xD1xv$e4e` zWbZ71UR@yi7-;vN>qvw2UjKm^`>kw;dcEv1u#pRw{V(FyseoeHKjPH)Rs>UWnc&46 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