[20260225] BOJ / G5 / 공약수 / 김민진

Author: zinnnn37

zinnnn37/202602/25 BOJ G5 공약수.md

@@ -0,0 +1,56 @@
+```java
+import java.io.*;
+import java.util.StringTokenizer;
+
+public class BJ_2436_공약수 {
+
+    private static final BufferedReader  br = new BufferedReader(new InputStreamReader(System.in));
+    private static final BufferedWriter  bw = new BufferedWriter(new OutputStreamWriter(System.out));
+    private static       StringTokenizer st;
+
+    private static int gcd, lcm;
+    private static long resA, resB;
+
+    public static void main(String[] args) throws IOException {
+        init();
+        sol();
+    }
+
+    private static void init() throws IOException {
+        st = new StringTokenizer(br.readLine());
+        gcd = Integer.parseInt(st.nextToken());
+        lcm = Integer.parseInt(st.nextToken());
+    }
+
+    private static void sol() throws IOException {
+        long div = lcm / gcd;
+
+        for (int i = 1; i <= Math.sqrt(div); i++) {
+            if (div % i == 0) {
+                long a = i;
+                long b = div / i;
+
+                if (gcd(a, b) == 1) {
+                    resA = a;
+                    resB = b;
+                }
+            }
+        }
+        bw.write((resA * gcd) + " " + (resB * gcd));
+        bw.flush();
+        bw.close();
+        br.close();
+    }
+
+    private static long gcd(long a, long b) {
+        while (b != 0) {
+            long tmp = b;
+            b = a % b;
+            a = tmp;
+        }
+
+        return a;
+    }
+
+}
+```