I am going to break rank slightly with the consensus so far.
Here's the deal, it probably DOES help your credit slightly to pay it multiple times per month if it isn't a hassle, but the bump is likely to be minimal and very temporary.
A key component of your score is your credit usage ratio. That is the ratio of how much of your credit limits you are using. You want to keep this number down as low as possible. Now here is where it gets tricky. Although you have a grace period to pay off your card with no interest, the credit card companies don't generally report the balance as of the due date. They either report the high balance or an average balance over the month. That is, it is based on how much you use, not how much balance you carry over each month. It isn't very intuitive, but that's just how it is.
So technically, keeping that balance lower over the course of the month WILL probably help you, but the credit usage ratio is generally a rolling average over the last x months, so the effect will wear off quickly. So it is probably not worth doing unless you know you are going to apply for a loan in the next 6 months and need a temporary, small bump.
Another consideration is that paying early provides no real financial benefit in terms of finance charges, but you are giving up liquidity which does have some value.
1) You probably could get at least a little interest for keeping the money in your account a few more weeks.
2) If you have a major financial emergency, e.g. broken down car, you might appreciate the fact that you kept your options open to carry that balance over a month.