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-rw-r--r--01-algorithmic_toolbox/01-intro/04-lcm/lcm.cpp34
1 files changed, 31 insertions, 3 deletions
diff --git a/01-algorithmic_toolbox/01-intro/04-lcm/lcm.cpp b/01-algorithmic_toolbox/01-intro/04-lcm/lcm.cpp
index c6f503c..62e7799 100644
--- a/01-algorithmic_toolbox/01-intro/04-lcm/lcm.cpp
+++ b/01-algorithmic_toolbox/01-intro/04-lcm/lcm.cpp
@@ -1,8 +1,36 @@
#include <iostream>
-long long lcm(int a, int b) {
- //write your code here
- return a*b;
+long long gcd(int a, int b)
+{
+ long long d, r;
+
+ if ((a == b) || (a == 0))
+ return a;
+
+ if (b == 0)
+ return b;
+
+ if (b > a) {
+ d = a;
+ a = b;
+ b = d;
+ }
+
+ for(;;) {
+ d = a / b;
+ r = a - (d * b);
+ if (r == 0)
+ break;
+ a = b;
+ b = r;
+ }
+
+ return (long long) b;
+}
+
+long long lcm(int a, int b)
+{
+ return (b / gcd(a, b)) * a;
}
int main() {