Hi, Jack. There is certainly no reason that I know of that you could not try an environmentally safe stripper like Citristrip on your floor. Do be aware that a stripper will also remove any finish that you currently have on your floor. You did not say what the floor material was but I assume that it is some kind of wood.
Be advised that the adhesive would probably quickly gum up even a coarse sanding belt and the sanding belts for floor sanders are expensive. So even if you were planning to sand, it would be to your benefit to remove as much of the old glue as possible.
If you do try a chemical stripper, be sure that you give it plenty of time to work and that you wear chemical resistant gloves and eye protection while you are around it. Have adequate ventilation and don't let the kids and pets near the work area. Use a putty knife to scrape off the goo and transfer it on to newspaper, then discard the newspaper.