Interesting idea, thank you.You need to start with MFG of the flooring. Different floors use different adhesives. Once that is determined you can find the min operating temp. But in general anything water based, MFG's usually suggest 50F or above.
If this shed is going to be exposed to wide temp swings, not sure adhesive is the best solution. Cold temps will cause the mat'l to stretch tight, then warm temps may cause it to bubble or ripple up.
Maybe let gravity hold it down with some quarter round to hold down the edges.