Correction of photos in the PC are a requirement that most non-dedicated photographers have and most want this to be done in a quick and easy way with as little input as possible.
Instead of going to go into a "quick" answer, I want to delve a bit deeper into this.
Why do you need to correct your photos?
For most people this is because they do not understand photography and their equipment. The solution for this is not to send everything through a PC, but to get a grasp of the basics. You know the saying, "Garbage in, garbage out". Fact is one cannot "correct" a poor photo on a PC. It is possible to rescue a photo, because the situation is not repeatable, but the result will at the best be so-so. On the other hand, one can increase the impact of a good photo by skillful post processing, but that cannot be called "correcting" as the OP said, nor can it be done as a batch, and it is not quick in the sense that the OP desire.
In spite of this fact, there are still a market for "automated" software that can take the 400 shots of your holiday and run it through a script to miraculously turn them into award winning shots. So lets say you have this holiday shots, which was not takes under optimum conditions and want to improve them. If one look at the diverse image subjects and lighting situations that appear in one's photos, it must be clear that auto correction will at best have to make some asumptions about the conditions under which the photos were taken and apply corrections which will not be optimum for all photos. It will result in average corrections, a result that will still be poorer than the initial photos if these were taken with the correct technique and some would even be worst off than before correction.
Techniques like sharpening and noise removal are necessary techniques, but even these can be improved by applying them to only certain areas or different amounts to different subject matter, which mean that your photo improvement will be best if evaluated and corrected on an individual basis.
There is thus in my opinion no such thing as a quick correction for photos. You will have to put in some effort if you desire good photos.