For an average 75kg person, you'd need to add roughly 5x (375kg) to their weight to reach parity between Moon and Earth, which if done with iron or steel would need less than 50l of volume spread around the body. Heavier metals could be used for an even lower volume, of course (though you'd want to avoid poisonous metals like lead, mercury or osmium), though you might hit other bottlenecks (gold and platinum are 2.5x denser, and iridium even more so, but price comes into play — perhaps locally sourcing them on other "rocky" planets is more feasible).
This does not resolve all of the issues mentioned in the article (like the effect on our internal organs, childbirth and such), but can definitely target a bunch of externally accessible muscles to keep them from getting atrophied.
Perhaps this will be a cheap solution for those not living in the rotating megastructures. I should start collecting gold to be able to go sightseeing on the Moon.