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Introduction to Computer Science Robert Sedgewick and Kevin Wayne Copyright © 2006 Recursive GCD Demo public class.

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Presentation on theme: "Introduction to Computer Science Robert Sedgewick and Kevin Wayne Copyright © 2006 Recursive GCD Demo public class."— Presentation transcript:

1 Introduction to Computer Science Robert Sedgewick and Kevin Wayne Copyright © 2006 http://www.cs.Princeton.EDU/IntroCS Recursive GCD Demo public class Euclid { public static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } public static void main(String[] args) { int p = Integer.parseInt(args[0]); int q = Integer.parseInt(args[1]); System.out.println(gcd(p, q)); }

2 static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(1272, 216) p = 1272, q = 216 environment

3 static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(1272, 216) p = 1272, q = 216 environment

4 static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(1272, 216) p = 1272, q = 216 environment

5 static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(1272, 216) static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(216, 192) p = 216, q = 192 environment p = 1272, q = 216 environment 1272 = 216  5 + 192

6 static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(1272, 216) p = 1272, q = 216 environment static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(216, 192) p = 216, q = 192 environment

7 static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(1272, 216) p = 1272, q = 216 environment static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(216, 192) p = 216, q = 192 environment

8 static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(1272, 216) static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(216, 192) static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(192, 24) environment p = 192, q = 24 p = 216, q = 192 environment p = 1272, q = 216 environment

9 static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(1272, 216) static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(216, 192) static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(192, 24) environment p = 192, q = 24 p = 216, q = 192 environment p = 1272, q = 216 environment

10 static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(1272, 216) static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(216, 192) static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(192, 24) environment p = 192, q = 24 p = 216, q = 192 environment p = 1272, q = 216 environment

11 static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(1272, 216) static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(216, 192) static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(192, 24) environment static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(24, 0) p = 24, q = 0 environment p = 192, q = 24 p = 216, q = 192 environment p = 1272, q = 216 environment

12 static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(1272, 216) static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(216, 192) static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(192, 24) environment static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(24, 0) p = 24, q = 0 environment p = 192, q = 24 p = 216, q = 192 environment p = 1272, q = 216 environment

13 static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(1272, 216) static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(216, 192) static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(192, 24) environment static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(24, 0) p = 24, q = 0 environment p = 192, q = 24 p = 216, q = 192 environment p = 1272, q = 216 environment 24

14 static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(1272, 216) static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(216, 192) static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(192, 24) environment 24 p = 192, q = 24 p = 216, q = 192 environment p = 1272, q = 216 environment

15 static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(1272, 216) static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(216, 192) static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(192, 24) p = 192, q = 24 environment 24 p = 216, q = 192 environment p = 1272, q = 216 environment 24

16 static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(1272, 216) static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(216, 192) 24 p = 216, q = 192 environment p = 1272, q = 216 environment

17 static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(1272, 216) static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(216, 192) p = 216, q = 192 environment 24 p = 1272, q = 216 environment 24

18 static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(1272, 216) 24 p = 1272, q = 216 environment

19 static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(1272, 216) p = 1272, q = 216 environment 24 public class Euclid { public static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } public static void main(String[] args) { int p = Integer.parseInt(args[0]); int q = Integer.parseInt(args[1]); System.out.println(gcd(p, q)); } 24 % java Euclid 1272 216 24


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