Created
November 2, 2012 02:31
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test whether an integer M and another M are relative primes.
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public class RelativePrime | |
{ | |
public static int max(int M, int N) | |
{ | |
return M >= N ? M : N; | |
} | |
public static int min(int M, int N) | |
{ | |
return M <= N ? M : N; | |
} | |
public static boolean isRelativePrime(int M, int N) | |
{ | |
if (M == 0 || N == 0) | |
return false; | |
if ( M == 1 || N == 1) | |
return false; | |
int k = min(M, N); | |
for (int i = 2; i <= k; i++) | |
{ | |
if (M % i == 0 && N % i == 0) | |
return false; | |
} | |
return true; | |
} | |
public static boolean[][] relativePrime(int N) | |
{ | |
boolean[][] a = new boolean[N][N]; | |
for (int i = 0; i < N; i++) | |
for (int j = 0; j < N; j++) | |
a[i][j] = isRelativePrime(i, j); | |
return a; | |
} | |
public static void show(boolean[][] a) | |
{ | |
int N = a.length; | |
StdDraw.setXscale(-1, N); | |
StdDraw.setYscale(-1, N); | |
for (int i = 0; i < N; i++) | |
for (int j = 0; j < N; j++) | |
{ | |
if(a[i][j]) | |
{ | |
StdDraw.setPenColor(StdDraw.BLACK); | |
} | |
else | |
{ | |
StdDraw.setPenColor(StdDraw.BLUE); | |
} | |
StdDraw.filledSquare(j, N-1-i, .5); | |
} | |
} | |
public static void main(String[] args) | |
{ | |
int N = Integer.parseInt(args[0]); | |
boolean[][] a = relativePrime(N); | |
show(a); | |
} | |
} |
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