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用Java实现约瑟夫环

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什么是约瑟夫环呢?
  约瑟夫环是一个数学的应用问题:已知n个人(以编号1,2,3...n分别表示)围坐在一张圆桌周围.从编号为k的人开始报数,数到m的那个人出列;他的下一个人又从1开始报数,数到m的那个人又出列;依此规律重复下去,直到圆桌周围的人全部出列.
  我们用程序说话,实现约瑟夫环
  import java.util.Scanner;
  public class Josephus
  {
  private static class Node
  {
  public int no;// 编号
  public Node next;// 下一个节点
  public Node(int no)
  {
  this.no = no;
  }
  }
  public static void main(String[] args)
  {
  Scanner scanner = new Scanner(System.in);
  System.out.print("请输入总人数:");
  int totalNum = scanner.nextInt();
  System.out.print("请输入报数的大小:");
  int cycleNum = scanner.nextInt();
  Node header = new Node(1);
  Node pointer = header;
  for (int i = 2; i <= totalNum; i++)
  {
  pointer.next = new Node(i);
  pointer = pointer.next;
  }
  pointer.next = header;
  // 初始化环形链表结束
  System.out.println("以下是出列的顺序:");
  while (pointer != pointer.next)
  {
  for (int i = 1; i < cycleNum; i++)
  {
  pointer = pointer.next;
  }
  System.out.println(pointer.next.no);
  pointer.next = pointer.next.next;
  }
  System.out.println(pointer.next.no);
  }
  }

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