I had a house not too long ago in Zhaoqing where the floors were nearly always wet, except after a cold front came through to dry the air.  There honestly isn't much you can do unless you got some air conditioning or a couple good fans to create ventilation and make the air move.  I had no air conditioning.  The reason they stay wet is because the humidity in your bathroom is too high, probably 80 to 90%!  If you do have an air conditioner, it likely has a dehumidifier option to dry your house out, it works great for me.  If you don't, just buy fan to sit in the floor, and use it to dry the floors, or prop it up on a window to bring in less stagnant air.  You could buy a dehumidifer, but haven't looked in the stores to see if they sell them ,and how much.

Other than that, they sell those containers of moth balls that suck some moisture out of the air, but they don't help too much.

I do not know if it will work to your satisfaction, but it does to mine.  I do keep a mop and broom inside the master's bathroom.  Before taking bath, I make sure dust is gone from floor with broom.  Then take shower.  After I am thru, get mop, pour a bit of bleach on it and mop the floor, squeezing water out often since the main purpose is to dry the floor as much as possible.  In about once per week basis, I pour a cup of bleach into clean water in toilet, and let it stand overnight.  Next morning, before using it, I use a hand held brush and clean whatever is left, then flush it.  I also pour one cup of bleach down the drain on floor, keeps odors away.

I have not seen Drano or equivalent here yet.  If toilet plugs, plumbers have an air tank with hose., place hose down toilet as far as it will go and give it a blast of compressed air.  You stay out of bathroom if do not wish to get wet.  After it gets unplug, you will have another cleaning job on your hands.

its china dosnt matter

piss on the floor..spit on it.. put out a couple of cigarettes on it.. and there you go! a nice clean chinese bathroom

I wanted an apartment with a western toilet, my WR is the shower, I scubbed it with a pot srubbing pad, even the ceiling was dirty, but after i shower i squeegy the WR and mop. i hang the mop up to dry. I get some black mold, I bought laundry bleechand oncee in awhile I'll scrub using bleech.

Dont forget to check the ceiling for mold

again bleach will do the job and try mixing in a little vinegar

and please remember when you use anything with ammonia keep the room well ventilated

And what ever you do, DO NOT mix ammonia and bleach together.  The fumes are poisonous.

Buy a long handled squeegee thing to keep the floor dry. Very useful; glad I bought one.