One possible approach is to set names like that:
<input type='checkbox' name='box[1]'>
<input type='checkbox' name='box[2]'>
<input type='checkbox' name='box[3]'>
This way you could access them in PHP with
foreach ($_POST['box'] as $id=>$checked){
if ($checked =='on')
//process your id
}
The second approach is more clean, I think. Set value's attributes on checkboxes:
<input type='checkbox' name='box[]' value='1'>
<input type='checkbox' name='box[]' value='2'>
<input type='checkbox' name='box[]' value='3'>
With this you'll receive only checked values:
foreach ($_POST['box'] as $id){
//process your id
}