通过样式class 判断多个checkbox redio 是否都选中

var count = "${count}";
                for(var i=1;i<=count;i++){
                       var flag = false;
                       if($("input[class='optionId"+i+"']:checked").length > 0){
                            flag = true;
                       }
                       
                       if(flag==false){
                             alert("第 "+i+" 题未作答，请选择答案！");
                             return false;
                       }
                }

<c:forEach items="${list}" var="risk" varStatus="status">
                    <div class="pg_item">
                        <div class="pgt_bt">
                            ${status.index+1}、<input type="text" name="title"
                                value="${risk.title }" /> <input type="hidden" name="stemId"
                                value="${risk.id }" /> <input type="hidden" name="type"
                                value="${risk.type }" />
                        </div>
                        <c:forEach items="${risk.option}" var="option" varStatus="optionStatus">
                            <label class="pgt_list"> 
                                <c:if test="${risk.type == 1}">
                                    <input type="radio" name="optionId${status.index}" class="optionId${status.index+1}"  value="${option.id}">${option.content}
                                </c:if> 
                                <c:if test="${risk.type == 2}">
                                    <input type="checkbox" name="optionId${status.index}" class="optionId${status.index+1}"  value="${option.id}">${option.content}
                                </c:if>
                            </label>
                        </c:forEach>
                    </div>
                </c:forEach>

通过class判断 form提交时是通过 name提交