I suspect you may be seeing green (or blue) bottle flies. Has something died under or around your house? Is it time to take out the trash? Bottle fly maggots eat dead things, and poop, and can infest trash. Since they are so closely associated with wet garbage, these types of flies can spread germs.
Since the onset was so sudden, a mouse or other unmentionable, may have died under the house/in the wall, you threw out a raw steak in the garbage, or there may be, (hope not), a sewer line break, and the flies are getting into the house through the heating grate, or windows, etc.
Get rid of the dead thing, or when the garbage gets picked up, or once whatever they are eating is all gone... and eventually, after the adults flies die, you won't see them anymore.
Raid will kill the adult flies, but you hope you don't have to go that far. Find and control the source, what the maggots are eating, and the control will be more permanent.
A professional pest control company can help or take a sample to your local ag agent for ID.
Of course, the flies buzzing around inside the house are not pleasant. First of all keep them out, with screens on windows or doors if needed. Take the trash out. Use garbage bags. Keep the trash cans covered, and at the end of the driveway away from the house.
I'm not sure this will work to get rid of the adult flies in the house... but these flies are attracted to light. So on a sunny day, close the drapes on all the windows where they are flying and open the door. Honest, they might migrate to the outside. But, do try to get whatever they are eating out of or away from the house. Until then, a fly swatter will work, until you tire of swinging it.
Here are some references:
http://www.ipm.ucdavis.edu/PMG/PESTN...7.html#GARBAGE
http://apps.cdpr.ca.gov/schoolipm/he...fm?pest_code=N
http://www.orkin.com/flies/bottle-flies/
http://www.orkin.com/flies/bottle-fl...een-bottle-fly
http://www.orkin.com/flies/bottle-fl...es-in-the-home
This answer is assuming a correct ID from very limited information. Submitting a sample to an authority is the only true diagnosis.