It is entirely appropriate, and quite common. As has been pointed out, there is potential for ambiguity. Some of the ambiguity can be resolved by repeating the article when the adjective is not meant to apply to all the nouns:
Give me the red pants, socks and shirt
The pants, socks and shirt are all red.
Give me the red pants, the socks and the shirt?
The pants are red. The socks and shirt may or may not be.
The young men and women chose the green door.
Young men and young women chose the green door.
The young men and the women chose the green door.
The young men and the women of all ages chose the green door.
This separation can be accomplished with article, a determiner or a a quantifier
The house was crammed with beautiful furniture and cats.
The furniture was beautiful and the cats were beautiful.
The house was crammed with beautiful furniture and some cats.
The furniture was beautiful. The cats weren't.
The house was crammed with beautiful furniture and fifteen cats.
The furniture was beautiful. The cats were plentiful.
If the cats were also beautiful, you'd have to spell it out:
The house was crammed with beautiful furniture and fifteen beautiful cats.
You may repeat the article and adjective for emphasis:
A common children's story tells of a little girl who breaks into a houseful of bears, and at each stage of her exploration, uses all of the baby bear's things:
Goldilocks chose the small bowl, the small chair, and the small bed.
If you did not spell it out like that, with the adjective repeated, it would still be grammatical:
Goldilocks chose the small bowl, chair, and bed.
It works fine, but does not do as good a job of pointing out that each selection was part of a separate decision-making process - it makes it sound as if she chose the baby's things in a package.