How to parse different number types with LALR(1)

Consider a LALR(1) parser for a file format that allows integer numbers and floating point numbers.

As usual, something like 42 shall be a valid integer and a valid float (with some automagic conversion in the background).

There might be parsing rules where a floating point number or an integer number is expected, and other rules where only an integer number is expected, e.g.:

foo1
    : bar FLOAT buzz
    | bar INT buzz
    ;

foo2
    :  some INT other stuff
    ;

Now consider something like

foo3
    : bar FLOAT xyz FLOAT abc FLOAT buzz
    ;

but at each position in this rule, instead of FLOAT, also INT shall be allowed.

• Turning this rule into 8 rules (one rule for each combination of FLOAT and INT) isn’t an option. (Consider a rule having 4 or 5 numbers...)

• Using a rule like

  float_or_int : FLOAT | INT;
  

  won’t help, because in general, this rule will reduce all INT to float_or_int, and rules like foo2 no longer can be parsed. (Because with a grammar large enough, the one token lookahead cannot avoid the shift-reduce-conflicts resulting from this rule.)

• When the lexer sees a number without a decimal point, it cannot decide whether the parser currently expects an int or a float-or-int.

How can this be handled in an elegant way?