public static void main ( String [ ] args ) {
  Scanner input = new Scanner ( System . in ) ;
  int t = input . nextInt ( ) ;
  while ( t -- != 0 ) {
    long n = input . nextInt ( ) ;
    long g = input . nextInt ( ) ;
    long b = input . nextInt ( ) ;
    long half = ( n + 1 ) / 2 ;
    long ans = half / g * ( g + b ) ;
    if ( half % g == 0 ) {
      ans -= b ;
    }
    else {
      ans += half % g ;
    }
    System . out . println ( ( long ) Math . max ( ans , n ) ) ;
  }
}

public static void main ( String [ ] args ) { Scanner input = new Scanner ( System . in ) ; int t = input . nextInt ( ) ; while ( t -- != 0 ) { long n = input . nextInt ( ) ; long g = input . nextInt ( ) ; long b = input . nextInt ( ) ; long half = ( n + 1 ) / 2 ; long ans = half / g * ( g + b ) ; if ( half % g == 0 ) { ans -= b ; } else { ans += half % g ; } System . out . println ( ( long ) Math . max ( ans , n ) ) ; } }
(method_declaration (modifiers) type: (void_type) name: (identifier) parameters: (formal_parameters (formal_parameter type: (array_type element: (type_identifier) dimensions: (dimensions)) name: (identifier))) body: (block (local_variable_declaration type: (type_identifier) declarator: (variable_declarator name: (identifier) value: (object_creation_expression type: (type_identifier) arguments: (argument_list (field_access object: (identifier) field: (identifier)))))) (local_variable_declaration type: (integral_type) declarator: (variable_declarator name: (identifier) value: (method_invocation object: (identifier) name: (identifier) arguments: (argument_list)))) (while_statement condition: (parenthesized_expression (binary_expression left: (update_expression (identifier)) right: (decimal_integer_literal))) body: (block (local_variable_declaration type: (integral_type) declarator: (variable_declarator name: (identifier) value: (method_invocation object: (identifier) name: (identifier) arguments: (argument_list)))) (local_variable_declaration type: (integral_type) declarator: (variable_declarator name: (identifier) value: (method_invocation object: (identifier) name: (identifier) arguments: (argument_list)))) (local_variable_declaration type: (integral_type) declarator: (variable_declarator name: (identifier) value: (method_invocation object: (identifier) name: (identifier) arguments: (argument_list)))) (local_variable_declaration type: (integral_type) declarator: (variable_declarator name: (identifier) value: (binary_expression left: (parenthesized_expression (binary_expression left: (identifier) right: (decimal_integer_literal))) right: (decimal_integer_literal)))) (local_variable_declaration type: (integral_type) declarator: (variable_declarator name: (identifier) value: (binary_expression left: (binary_expression left: (identifier) right: (identifier)) right: (parenthesized_expression (binary_expression left: (identifier) right: (identifier)))))) (if_statement condition: (parenthesized_expression (binary_expression left: (binary_expression left: (identifier) right: (identifier)) right: (decimal_integer_literal))) consequence: (block (expression_statement (assignment_expression left: (identifier) right: (identifier)))) alternative: (block (expression_statement (assignment_expression left: (identifier) right: (binary_expression left: (identifier) right: (identifier)))))) (expression_statement (method_invocation object: (field_access object: (identifier) field: (identifier)) name: (identifier) arguments: (argument_list (cast_expression type: (integral_type) value: (method_invocation object: (identifier) name: (identifier) arguments: (argument_list (identifier) (identifier)))))))))))