And watch out also for moisture coming up at the junction of the slab and the wall. Once you seal the top of the slab the concrete will end up being wetter than before so the moistire will tray and escape around the edges.
At best this will be a narrow band of damp but if the top of the floor slab is above the damp proof course in the wall the moisture can track across and migrate up the wall. Ideally the DPM on the floor should connect to the DPC in the wall. If it is at the same level as the floor surface then consider grinding a bit of a chase between the two , blow out any dust with an airline, prime with special primer and fill the crack with polysulphide mastic or other slightly resilient compound with good adhesive and water resistant properties.
If rising damp in your wall does not concern you (typically a bit of a tide line up the wall often with salt crystals) then don't worry about this detail but if you want paint to hang onto the walls or if there is timber there you will be well advised to look at the interconnection. It is a common problem and as Russ correclty points out there is considerable hydrostatic pressure which builds up one the slab is no longer able to 'breathe' to release the moisture.
The the detail you are adopting the slab will tend to have less thermal insulation value too but that is a minor consideration. Also use chemical (resin) anchors and non ferrous / stainless fixings if bolting down machinery etc as the floor will be relatively wet below the 'paint'.
All 'doable' but not as straightforward or reliable as having the DPM below the slab.