All species have their own nutritional needs.

The genetically closer 2 species are, the more similar will be their nutritional needs, but it's still not the same.

Mammals are a large group with very distinct diets, so their nutritional needs are very distinct.

Our nutritional needs are more similar to chimp and primates in general.

All animals need energy (as carbs including fibers for the ones with bacteria that can ferment them, fat and/or proteins) and minerals (including nitrogen for the ones who have bacteria that uses nitrogen to make proteins). The ones that don't have bacteria that produces proteins, must also eat proteins, but they don't need nitrogen outside of the proteins.

Vitamin need aren't shared by all animals.