<div>
   <span>视频上传</span>
   <a href="javascript:;">
     <button>上传</button>
     <input type="file" name="file" @change="uploadUp($event)" 
       enctype="multipart/form-data">
    </a>
</div>

uploadUp(event) {
      var files = event.target.files,file;
       let formData = new FormData();
       formData.append('file', files[0]);
       axios({
          url:"后端的接口地址",
          data:formData,
          method:"post"
       }).then(resp=>{
         console.log(resp);
       })
    },

为了简洁，我把所有的样式都删掉了，功能亲测可用。