204

Part of 1951 Moscow Mathematical Olympiad

Problems(1)

MMO 204 Moscow MO 1951 sum of reciprocals < 2, lcm>1951

Source:

* Given several numbers each of which is less than

1951

and the least common multiple of any two of which is greater than

1951

. Prove that the sum of their reciprocals is less than

2

least common multiplereciprocalSumnumber theory