Certainly. But it was not the only idea he worked on, as I commented.
Perhaps I'm reading too much into it, but I interpret "Most of the great scientists worked on a single idea their entire life ..." as working on a single idea, to the exclusion of others.
Otherwise the statement would be "Most of the great scientists worked on an idea their entire life"
FWIW, using the list from http://listverse.com/2009/02/24/top-10-most-influential-scie... :
Marie Curie: received Nobel Prizes in Physics for her work in radiation and in Chemistry for her work in radium and polonium. If the idea here is "radiation" then Einstein's idea was "physics" and Darwin's was "biology"
Alan Turing: died entirely too young. Best known for early work in computers. Then switched to mathematical biology, specifically morphogenesis.
Niels Bohr: perhaps "nature of the atom" or "quantum mechanics"
Max Planck: Black-body radiation and special relativity
Charles Darwin: evolution (not really a small idea)
Leonardo da Vinci: not applicable
Galileo Galilei: astronomy (I can't think of a smaller "idea" for his body of work)
Nikola Tesla: umm, "electricity"?
Albert Einstein: see above
Isaac Newton: optics, gravitation, physics .. and then the Royal Mint, counterfeiting, and a whole lot of alchemy.
It's hard to conclude that these people worked on a single "idea", though some worked mostly in a single field.