REal wood flooring will stain if they pee on it, laminate will absorb the urine in the cracks and it will expand and therefore be ruined. covering it with lino dpending on how you lay it could either ruiin the floor if you glue it down, if it is not glued they will try and get the corners and pull it up!
Ideally you need to free lay lino on it and keep them away from the edges.