Problem:
Compute GCD using three different methods in Java.
Output:
Not applicable.
Solution:
01 | /**--------------------Method 1 ---------------*/ |
02 | public class gcd_recursion_azzam |
03 | { |
04 | public static int gcd( int m, int n, int i ) { |
05 | |
06 | if (m%i == 0 && n %i == 0 ) |
07 | return i; |
08 | else |
09 | return gcd(m,n,--i); |
10 | } |
11 | |
12 | public static void main(String[] args) |
13 | { |
14 | System.out.println(gcd( 10 , 4 , 4 )); |
15 | } |
16 | } |
17 | /**--------------------Method 2 ---------------*/ |
18 | public class gcd_recursion_book |
19 | { |
20 | public static int gcd( int m, int n) { |
21 | |
22 | if (m % n == 0 ) |
23 | return n; |
24 | else if (m < n) |
25 | return gcd(m,n); |
26 | else |
27 | return gcd(n, m%n); |
28 | } |
29 | |
30 | public static void main(String[] args) |
31 | { |
32 | System.out.println(gcd( 10 , 4 )); |
33 | } |
34 | } |
35 | /**--------------------Method 3 ---------------*/ |
36 | public class gdc_recursion_online |
37 | { |
38 | public static int gcd( int a, int b) { |
39 | |
40 | if (b== 0 ) |
41 | return a; |
42 | else |
43 | return gcd(b, a % b); |
44 | } |
45 | |
46 | public static void main(String[] args) |
47 | { |
48 | System.out.println(gcd( 10 , 4 )); |
49 | } |
50 | } |
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