Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
 Already signed up? New to KöMaL?

# 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