Problem A. 664. (February 2016)

A. 664. Let \(\displaystyle a_1<a_2<\ldots<a_n\) be an arithmetic progression of positive integers. Prove that \(\displaystyle [a_1,a_2,\ldots,a_n] \ge [1,2,\ldots,n]\). (The symbol \(\displaystyle [\ldots]\) stands for the least common multiple.)

(5 pont)

Deadline expired on March 10, 2016.

Statistics:

5 students sent a solution.
5 points:	Williams Kada.
4 points:	Bukva Balázs.
2 points:	2 students.
0 point:	1 student.

Problems in Mathematics of KöMaL, February 2016