Recursive GCD Demo public class Euclid {

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Presentation transcript:

Recursive GCD Demo public class Euclid { 1/13/2019 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));

static int gcd(int p, int q) { if (q == 0) return p; 1/13/2019 p = 1272, q = 216 environment 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; 1/13/2019 p = 1272, q = 216 environment 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; 1/13/2019 p = 1272, q = 216 environment 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; 1/13/2019 p = 1272, q = 216 environment static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(1272, 216) 1272 = 216  5 + 192 p = 216, q = 192 environment 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; 1/13/2019 p = 1272, q = 216 environment static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(1272, 216) p = 216, q = 192 environment 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; 1/13/2019 p = 1272, q = 216 environment static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(1272, 216) p = 216, q = 192 environment 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; 1/13/2019 p = 1272, q = 216 environment static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(1272, 216) p = 216, q = 192 environment static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(216, 192) p = 192, q = 24 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; 1/13/2019 p = 1272, q = 216 environment static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(1272, 216) p = 216, q = 192 environment static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(216, 192) p = 192, q = 24 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; 1/13/2019 p = 1272, q = 216 environment static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(1272, 216) p = 216, q = 192 environment static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(216, 192) p = 192, q = 24 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; 1/13/2019 p = 1272, q = 216 environment static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(1272, 216) p = 216, q = 192 environment static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(216, 192) p = 192, q = 24 static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(192, 24) environment p = 24, q = 0 static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(24, 0) environment

static int gcd(int p, int q) { if (q == 0) return p; 1/13/2019 p = 1272, q = 216 environment static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(1272, 216) p = 216, q = 192 environment static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(216, 192) p = 192, q = 24 static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(192, 24) environment p = 24, q = 0 static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(24, 0) environment

static int gcd(int p, int q) { if (q == 0) return p; 1/13/2019 p = 1272, q = 216 environment static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(1272, 216) p = 216, q = 192 environment static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(216, 192) p = 192, q = 24 static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(192, 24) environment p = 24, q = 0 24 static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(24, 0) environment

static int gcd(int p, int q) { if (q == 0) return p; 1/13/2019 p = 1272, q = 216 environment static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(1272, 216) p = 216, q = 192 environment static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(216, 192) p = 192, q = 24 static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(192, 24) environment 24

static int gcd(int p, int q) { if (q == 0) return p; 1/13/2019 p = 1272, q = 216 environment static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(1272, 216) p = 216, q = 192 environment static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(216, 192) p = 192, q = 24 24 static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(192, 24) environment 24

static int gcd(int p, int q) { if (q == 0) return p; 1/13/2019 p = 1272, q = 216 environment static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(1272, 216) p = 216, q = 192 environment static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(216, 192) 24

static int gcd(int p, int q) { if (q == 0) return p; 1/13/2019 p = 1272, q = 216 environment static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(1272, 216) p = 216, q = 192 environment 24 static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(216, 192) 24

static int gcd(int p, int q) { if (q == 0) return p; 1/13/2019 p = 1272, q = 216 environment static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(1272, 216) 24

static int gcd(int p, int q) { if (q == 0) return p; 1/13/2019 p = 1272, q = 216 environment static int gcd(int p, int q) { if (q == 0) return p; else return gcd(q, p % q); } gcd(1272, 216) 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 24 % java Euclid 1272 216 24