UVA 10050 – Hartals

Simultaed all the holidays and then removed them from the list of total days.

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.HashSet;

/**
 * 
 * @author Sanchit M. Bhatnagar
 * @see http://uhunt.felix-halim.net/id/74004
 * 
 */
public class P10050 {
  public static void main(String[] args) throws NumberFormatException, IOException {
    BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    PrintWriter out = new PrintWriter(System.out);

    int numTestCases = Integer.parseInt(br.readLine().trim());
    for (int testCase = 1; testCase <= numTestCases; testCase++) {
      int N = Integer.parseInt(br.readLine().trim());
      int P = Integer.parseInt(br.readLine().trim());
      HashSet<Integer> ans = new HashSet<Integer>();
      for (int i = 0; i < P; i++) {
        int tmp = Integer.parseInt(br.readLine().trim());
        int max = N / tmp;
        for (int j = 1; j <= max; j++) {
          ans.add(tmp * j);
        }
      }
      int max = N / 7 + 1;
      for (int j = 1; j <= max; j++) {
        int tmp = 7 * j;
        if (ans.contains(tmp))
          ans.remove(tmp);
        if (ans.contains(tmp - 1))
          ans.remove(tmp - 1);
      }
      out.println(ans.size());
    }
    out.close();
  }
}

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