Metal Halide (MH) is the most versitile type of lighting for corals. It's also the most difficult type of lighting to shop for.
A good way to educate yourself on this type of lighting is to read up on these topics:
-Retrofit kit
-Fully assembled MH (pendants)
-Types of ballasts (probe start, pulse start, HQI)
-Wattage (70W, 150W, 175W, 250W, 400W)
-Color temperature (K-rating, i.e. 10,000K, 20,000K etc.)
-PAR (Photosynthetic Available Radiation)
-Single ended bulbs versus double ended bulbs
And to answer your question on the least expensive type of lighting, that would have to be fluorescent (which limits the corals that can be kept).