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-rw-r--r--01-algorithmic_toolbox/01-intro/03-gcd/gcd.cpp35
1 files changed, 25 insertions, 10 deletions
diff --git a/01-algorithmic_toolbox/01-intro/03-gcd/gcd.cpp b/01-algorithmic_toolbox/01-intro/03-gcd/gcd.cpp
index f723be2..fc13392 100644
--- a/01-algorithmic_toolbox/01-intro/03-gcd/gcd.cpp
+++ b/01-algorithmic_toolbox/01-intro/03-gcd/gcd.cpp
@@ -1,16 +1,31 @@
#include <iostream>
-int gcd(int a, int b) {
- //write your code here
- int current_gcd = 1;
- for (int d = 2; d <= a && d <= b; d++) {
- if (a % d == 0 && b % d == 0) {
- if (d > current_gcd) {
- current_gcd = d;
- }
+int gcd(int a, int b)
+{
+ int d, r;
+
+ if ((a == b) || (a == 0))
+ return a;
+
+ if (b == 0)
+ return b;
+
+ if (b > a) {
+ d = a;
+ a = b;
+ b = d;
}
- }
- return current_gcd;
+
+ for(;;) {
+ d = a / b;
+ r = a - (d * b);
+ if (r == 0)
+ break;
+ a = b;
+ b = r;
+ }
+
+ return b;
}
int main() {