AMC 8 2015 Problem 22

AMC8 2015 年第 22

整除与因数★★★★
On June 1, a group of students are standing in rows, with 15 students in each row. On June 2, the same group is standing with all of the students in one long row. On June 3, the same group is standing with just one student in each row. On June 4, the same group is standing with 6 students in each row. This process continues through June 12 with a different number of students per row each day. However, on June 13, they cannot find a new way of organizing the students. What is the smallest possible number of students in the group?
7 月 1 号那天,一群学生站成几行,每行 15 个学生;7 月 2 号那天,这群学生站成一行;7 月 3 号那天,这群学生站成若干行,每行只有 1 个学生;7 月 4 号那天,这群学生站成若干行,每行 6 个学生。这个过程一直持续到 7 月 12 号,每天每行的人数都不一样。然而,到了 7 月 13 号这天,他们再也没有办法找到一种新的方式去安排这些学生,那么这群学生最少有多少人?
  1. A.21
  2. B.30
  3. C.60
  4. D.90
  5. E.1080

正确答案 · Correct Answer

C

解析 · Solution

解析整理中

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