约瑟夫问题的一种描述是：编号为1，2，…，n的n个人按顺时针方向围坐一圈，没人持有一个密码。一开始人选一个正整数作为报数上限值m，从第一个人开始按顺时针自1开始报数，报到m是停止报数。报m的人出列，将他的密码作为新的m值，从他在顺时针方向上的下一个人开始重新从1报数，如此下去，直至所有人全部出列为止。-a descr iption of the problem is : No. 1, 2, ..., n n clockwise direction by individuals sitting around a circle, no one holding a password. One person started as a positive integer limits on the number of reported m, from the first individuals to embark on the clockwise from a few reportedly started, the report m is reportedly stopped a few. M reported out of the list of his password as a new value m, from a clockwise direction in the next re-started from a newspaper a few, like that, until the total of all listed so far.