Fill Empty Cells From Cell Above In Column

Is there an easy way that if any cell in column A is blank it can copy the value from the closest non-blank cell above it? I eventually have to export data from a workbook into a database. But I cannot have any cells in column A as null or blank.

1. There are no blank rows, and at least 1 cell in each row has a value.
2. The person who constructed the sheet did not fill in all cells in column A for each row, they imply that if the cell is blank then it belongs to the same value as whatever the cell above it has. Ie, all similar rows are grouped together.
3. Of course, I only need column A filled in for rows that have data in at least 1 of their columns.
4. Simple worksheets with no formulas to worry about.

Additionally, if it is possible to get a macro so I can apply the code to all worksheets in my workbook at once, can I get that too? In the example below (where .... are blanks) I would like A2 to read 'Fruit' and A4 to read 'Meat'

ColA ColB Colc
---- ----- -------
Fruit apple red
.... grape green
Meat ham pink
.... beef brown