Least common multiple count
Problem 379
Published on Sunday, 8th April 2012, 11:00 am; Solved by 265
Let f(n) be the number of couples (x,y) with x and y positive integers, x 
y and the least common multiple of x and y equal to n.
Let g be the summatory function of f, i.e.:
g(n) = 
f(i) for 1 i n.
You are given that g(106) = 37429395.
Find g(1012).