Interior wall installation over hardwood finished floor?
I would suggest that you mark where you bottom plate is, adjust circular saw to hardwood depth and cut it out (might need a jigsaw or dremel in corners).  

Not exactly sure what type of wood flooring you have but I would do this in all cases. If your wood is floating you MUST do it.  

If you have nail down I would still do it because you are introducing different amounts of pressure on the floor which could lead to buckling/damage over time.  Keep the boards you cut out and they can be reinstalled.  Also your drywall and baseboards will overlap the cutout points so you don't have to worry about how the hardwood will look after cut - you will have almost an inch to play with on each side.